Luke:

- Blue Lightsaber by blue-ice-veins on Tumblr

- Lightning by Art Move on YouTube

- Luke Skywalker Photo taken Behind the Scenes of Return of the Jedi

- Red vs. Blue lightsaber stock image

- Force Ghost Anakin by GrimweaverArt on DeviantArt

- Binary Sunset Wallpaper from A New Hope

Leia:

- Red Lightsaber Wallpaper stock image

- Text taken from Sith Code

- "I'm Sorry" stock image

- Empire Symbol by Rebellion-10

- Carrie Fisher as Princess Leia

- Red Sun from Wikimedia

As for what Anakin would look like

From uzuriart

  Or let’s say he was severally injured during the fight with Palpatine and needed the suit, a suit that would be better than what Palpatine gave him and enhanced his dark side abilities and lightsaber prowess.  

From the cancelled Battlefront IV what if game

Art from Sadece Kaan

As for the twins

by Jedi-Art-Trick

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As for Padme

by Avasketches

By starbitart

 by AlexVerseNaberrie

Vader’s Empire would be an anvil and he would be the hammer.

Palpatine, for all his faults, knew how to use public image and soft politics now and again, probably not as much as he should. Vader would not care about that have the standing policy of “Obey or Die” with less implied than Palpatine.

Vader, largely due to his experience as The Jedi Anakin Skywalker, had a high opinion of the clone army. Palpatine understandably was insecure about them and the prospect of betrayal, if he could use Order 66 on the Jedi, who’s to say somebody couldn’t sneak an order on him?

So, Vader would probably make a core backbone if not the entirety of The Imperial military would be clones, continuing the Kamino batches and Vader would even employ the services of Boba Fett as a new donor. With Cloning continuing, we would then see Phase III Clones

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Rex, Cody and  Fordo would be the 3 Commanders of the Clone Army and Thrawn, Piett, and Veers would be the top commanders of the Imperial Navy

Vader was known to be hard on failure, insubordination, and other annoyances, but would be known to hold back due to high profile figures like Tarkin or the Emperor. Emperor Vader would have no limitations and probably find himself killing even more officers (though this could be softened by a disciplined clone army).

Anakin always had a low opinion of The Senate, and Vader found bureaucracy frustrating, so he would probably dissolve The Imperial Senate much sooner, taking direct military control.

In fact, Vader would probably take as much direct control as he could, having little faith in many under him and found many of the Moffs too ambitious or inefficient, so it wouldn’t surprise me if he killed most of that council and gave those responsibilities to either a tighter group, individual, or solely to himself and his children, governing the galaxy one hyperspace jump to the next killing anyone who wouldn’t play ball and moving on.

Vader didn’t seem to like the Inquisitors either, so would probably only train his children, taking personal enjoyment in killing force sensitives and ex Jedi himself as a pastime and collecting and hoarding all ancient sith knowledge for himself. He didn’t seem to mind flaunting his force abilities or dark side in front of others, and so would probably not care about being an open sith lord to his galaxy, thinking he could kill any objectors.

Vader, Luke and Leia would hunt down and kill any Jedi survivors and any Force Sensitives would be sent to Malachor to be indoctrinated to become Dark Acolytes. We would see Vader hunting down Yoda and killing him, the last Jedi Master falls.

But there are good qualities of Anakin that would shine through into Vader’s rule:

Given his experiences in childhood Vader would certainly ban slavery and harshly punish any who would practice it

Anakin’s experiences in The Clone Wars, Outer Rim childhood and Jedi operate with a ton oft put off by the likes of Imperial aliens like Thrawn being nonhuman, so his Empire would probably have a lot more aliens in the Empire.

His frustration with corruption in both The Republic and Empire as well as his need for efficiency and likely to establish a strong clone presence, he would probably kill any who would connive to undermine his empire for their own gain and the Empire would probably be free of a lot of corruption.

Given his love for engineering I can see technological strides being made, specifically in the military. His love for flying might see him adopt the TIE Defender project.

There would be no Death Star instead he puts everything into expanding their fleet and military, higher training and strong generals and admirals at the head of his military. But if there had to be one(more on that next)

Vader enjoyed enacting harsh punishment and taking a direct hand in crushing insurrection, so any rebellions that would crop up would see him leading and crushing any that crop up, and if he had The Death Star he’d probably use it liberally rather than as a threat. I could see him destroying Tatooine as an early demonstration as well a personal final destruction of his past: his life as Anakin, his slavery, the Hutts and the death of his mother.

He would rule with an iron fist and scarcely delegate, putting down any issue with lethal intense force with an army solely loyal to him. While in the short term this would prove effective as a galaxy would be put into fear of either death or their whole planet destroyed, this isn’t a good long term plan and as soon as he slips up an even greater rebellion would rise up to him, or if he managed to deal with that and rule an autocratic galactic empire for years afterwards, his lack of faith in those under him, lack of soft politics and unitary power would see the empire fall apart pretty easily after his death. Though the galaxy would be in a much weaker place for the next bad guys after how many governments he crushed and planets he destroyed. Granted, Palpatine’s empire fell apart but it still lasted a solid ten years and he had contingency plans for successor plans like The First Order, Vader however intended to have a dynasty that would live for generations. His children would inherit the Empire after his death and their children as well.

Padme could not stand idly by anymore. The man she loved is gone and her children have been corrupted and if her children cannot be her hope, then she will become her own. Any willing and able senators before the dissolution of the senate join Padme and the Rebel Alliance is born. The only Jedi who could stand with her are Ahsoka Tano, Cal Kestis and Ezra Bridger.

Padme’s betrayal will come with consequences. Occupation and invasion of each Rebel leader’s homeworld. If that isn’t enough to crush the Rebellion, Lord Vader intends to use the Death Star on Naboo, symbolically of how far Anakin has fallen and the end of Anakin and Padme’s love....or so we thought. Before he gives the order, Vader would order Padme be brought aboard the Death Star. Now we all believe this might be to force her watch Naboo’s destruction, but we reveal that they were in on it together.. Vader will say “well played, my love.” “As we planned, my Emperor.” We would find out, Anakin DID teach Padme the lies and evil of the Jedi. He reminds her, they did nothing as Naboo was laid siege by the Trade Federation. Only two acted, where was the rest of their order? They did nothing as people like him and his mother lived in slavery. The Senate did absolutely nothing while Naboo was occupied and The Senate kept the Clone Wars going and the Jedi acted as Generals. As Emperor he has brought more peace than the Jedi has ever done in over 1000 generations.  He collected Jedi and Sith holocrons to teach Padme that the Jedi allowed all this to happen and Padme begins to believe her husband and Emperor was right, The Jedi deserved to fall and they can bring peace and order to the galaxy and make it what they wanted. But Padme was drawn to one particular Sith Holocron after Anakin brought truth to his Empress. The Holocron and teachings of Darth Traya.

Padme was playing The Rebels. She played the long con. Luring everyone willing to rebel against her family’s empire and wait for her Emperor to wipe them all out in one fell swoop. She even revealed that she implied to the last of the Jedi that her children had a chance to be swayed from their path, the poor fools. Vader is impressed with Padme’s cunning and deception. Padme takes his mask off and embraces him in a kiss. Long live Emperor Vader! Long live Empress Amidala!

Ahsoka was always Vader’s apprentice. As soon as Vader gained control of the Empire, Vader found Ahsoka and convinced her to join him. Showed him the good he’s done and the problems the Jedi have caused for thousands of generations and reminds him of how they betrayed her. It took some convincing, but eventually Ahsoksa stayed true to her Master and Emperor. Ahsoka would become Darth Statera. Statera is "balance" in Latin. Ahsoka is the embodiment of what the Jedi Order should be which is balance. Much like how Darth Vader represents a fallen father figure, ahsoka would represent the fall of balance.

Dark Ahsoka by vashperado

Ahsoka’s goal was to lure the Jedi out of hiding. she found Ezra Bridger, Kanan Jarrus and Cal Kestis. Ahsoka gives the signals and the Twins joins her and they would all kill the Jedi. 

Under the guise of peace talks with the Rebel leaders on the planet of Kashyyyk does the war end. When all is said and done, does Bail and Mon Mothma believe peace is restored. Then, the Wookies begin to drum the Imperial March and the doors are all locked tight. It dawns on them that something is wrong. Padme, with a wicked smile, smiles and sips her wine as the Clones begin slaughtering the Rebel forces and Vader and her children begin slaughtering the Rebel leaders. All that remains are Bail and Mothma. Begging for their lives.  Questioning what twisted dark side magic has caused her to betray them? “Betrayal? I’ve always been loyal, to my world. To my husband and emperor and to my children. You want me to bring back a Republic who stood by and did nothing as my world was occupied? The Republic we once revered is dead. It was dead long before Palpatine came into power. I used you to unite the Rebels together. I used you to bring the Jedi out of hiding and I betrayed you all because There must always be a Darth Traya, one that holds the knowledge of betrayal. Who has been betrayed in their heart, and will betray in turn. And as your Empress, my traitorous Rebels, I sentence you to death!” The Rebel Alliance has ended. Long live The Empire!

The twins would soon find love with Mara Jade and Han Solo. Luke would find Mara Jade after one day finding a powerful force sensitive and deciding to train her himself. They fell in love and became strong within the force together. They would have a son and name him Anakin.

 Leia came across Han when she came to bring justice to Corellia. Leia saw something in Han, she saw nothing but treachery in his companion Qi’Ra, so she manipulated Moloch into killing her and as Han thought he would join Qi’Ra. Leia came to his rescue. Han pledges himself to the Imperial Princess and her Empire, as long as he can hurt the criminal underworld and bring order to the galaxy.

Leia grants him his wish and Han would soon become The Empire’s best pilot, next to her father and brother of course.  Han Solo becomes the best Tie Pilot in the Imperial Navy. So skilled that he is known throughout the galaxy as the Black Ace. He even manage to partner up with the Wookie Imperial War Chief Chewbacca.

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Long after the war is over, Han and Leia would be married and they would have their son, Ren Solo.

Poe Dameron would be the new top Ace Pilot in the Imperial Navy and no one is safe from the Dread Pilot Dameron.

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Finn would’ve been raised by the aged and retired Captain Rex. His family killed by pirates and Finn would’ve been raised to believe the Empire was a force for good and would’ve been inducted into the Clone Army. He would’ve rose through the ranks and become a Captain. While not a Clone, Finn would be a big deal in the Grand army of the Empire. FInn’s armor would be an Obsidian like armor. Like Phasma’s armor, but made out of Obsidian. Couldn’t find any fanart of Finn as a Stormtrooper Captain, so there we go.

Han and Leia did some research. To ensure any and all traces of the old Emperor Palpatine were destroyed, they investigated the abandoned Jakku laboratory and found a girl. Rey. Rey would become a ward of the Imperial Royal Family and when Rey comes of age, Ben and Rey would be wed

As Emperor and Empress of The Galactic Empire, Ren and Rey will usher in a new era of peace and prosperity!

Rey and Ren as Emperor and Empress by lucylucius