spitballing My Adventures With Superman as mapping out onto the characters' publication history
S1 as Golden Age: Superman battles the depredations of rampaging robots, ruthless gangsters, corrupt corporate executives, rogue generals, mad scientists, towering monsters, and this one out of context gremlin freak, and learns of the overarching horror that other companies are making Superman knock-offs and one of them is arguably more successful, though he'll plunder the schmuck for all he's worth other universes have their own Supermen who may represent what he could become; he knows basically nothing about 'Krypton'. Intrepid reporter Lois Lane dogs his heels and disdains one of his double identities, though in line with Siegel and Shuster's original vision she quickly cracks the secret even if it's not an end to the drama. Sometimes there's another guy at the office too who hangs out with them. Luthor is there but...not really, yet.
For bonus points the tie-in comic between 1 and 2 has some early 50s 'Atomic Age' vibes, Superman and the gang deal with an in hindsight also-ran villain while facing an alien invader who turns out to be a Halk Kar/Mon-El not-quite-Kryptonian-but deal who heralds a bunch of ideas that'll be followed through on in bigger ways to come.
S2 as Silver Age: Superman sure knows about Krypton now, and he made an ice cave about it! So now he will be dealing with Space Problems, while Lois fears that at any moment he'll turn around and snicker at her and shatter her dreams. Meanwhile that other guy's name is Jimmy Olsen, and his assorted hijinks? They're gonna be much more important going forward. Also more important now is Luthor, who has graduated to A Nemesis even if he's not The Nemesis just yet; for now the #1 spot goes to the cosmic fiend Brainiac, who has stolen all that remains of Krypton, and unites the entire burgeoning Superfamily with the arrival of cousin Kara Zor-El (is she friend or foe?) against him! A time of snowball fights in space and super celebrity date auctions, and also the most emotionally harrowing shit you've ever seen; Must There Be A Superman questions are only the faintest drumbeat. At the end, we see glinting in the distance the fire and fury of a world of darkness. The world that's coming!
On the horizon of tonight(!), S3 kinda seems like it's mixing Bronze and post-Crisis? On the Bronze end, Superman is now an established institution with a legacy (heck, could that be a take on The Sword of Superman in the opening credits with Kon?), while Lex Luthor rises in turn to meet him at last on his level as his truest adversary. Lois asserts her independence even as she and Clark are starting to really dance around the 'so do we have a future? Is this gonna work?' question - complete with a semi-reoccurring Superman Jr., whether or not he turns out to be an Imaginary Story - just as the Must There Be A Superman questions are now a guy who is currently punching him in the face. Olsen hijinks continue apace while Supergirl has her own solo adventures, btw the rest of the DC Universe does matter a liiiiiiiiiiiiiiiiiitle bit now, have fun with that. For post-Crisis, we're coming down from the Krypton high back to Earth as our main couple have the specter of marriage or at least cohabitation become a real consideration, while Jimmy gets roped into soap opera shenanigans, Lex becomes Metropolis's premiere bald businessman, and the various Reign goobers approach the starting line. And for good measure as this era goes, it looks like some of the chief menaces this season will be The Greatest Criminal Mind Of Our Time, the deadly Zod, an evil robot who is also an evil Superman, and a weird clone or two.