#vedic scriptures

In Hindu and other Sanskrit vedic scriptures the deities , which have history of getting worshipped for more than thousands of year and are the pillars of devotional spirituality in large group of communities has been shown with vivid skin colores , sometimes extending to the colour of skin as green .

In discription;

मेघवर्णम शुभांगम (Meghvarnam Shubhangam ) , the one with hue of clouds with most auspicious body frame ( serenely divine ) ; Narayana

Some other times he has been described as one having different colors of body in different avatars he took , Lord's avatar is yellow in Vishnu Saharsra nama. where 737th name is suvarnavarnah(He who is of golden color),

SB 11.5.24 — In Tretā-yuga the Lord appears with a red complexion. He has four arms, golden hair, and wears a triple belt representing initiation into each of the three Vedas. Embodying the knowledge of worship by sacrificial performance, which is contained in the Ṛg, Sāma and Yajur Vedas, His symbols are the ladle, spoon and other implements of sacrifice. SB 11.5.21 — In Satya-yuga the Lord is white and four-armed, has matted locks and wears a garment of tree bark. He carries a black deerskin, a sacred thread, prayer beads and the rod and waterpot of a brahmacārī.

Your son Kṛṣṇa appears as an incarnation in every millennium. In the past, He assumed three different colors — white, red and yellow — and now He has appeared in a blackish color. SB.10.8.13

( Bhagwat Purana)

As with some difference of opinion with Shri Ram's complexion some believe it to be shyama Varna where as some believe it to be green

rAmam durva-dala-shyAmam padmAksham pita-vAsasam/stuvanti nAmavir divyair na te samsArino narAh//(25), meaning Rama is having dark complexion like durva-grass and wearing yellow garment.Those who praise Him by different names are never bound by worldliness.(Reference: Stavananjali, Ramakrishna Math Nagpur,page 144)

Tulsidasji also describes Him as 'Nilamvuja-shyAmala-komalangam' and so His skin colour is like blue lotus there.

Shri Krishna

Shri Ram

Then Mahadev Shiv are described as karpoor gauram karunavtaaran; the one with complexion fairer like camphor the most benevolent incarnation among all .

At the same time Their consort the divine companion Adi Shakti is being worshipped as primely in two different forms ; the fairer one as Gauri , Kaushiki , Parvati and other as Kali , Bhadrakali , kaalratri , Chamunda

Among her various other forms , the matangini is described as With greenish hue like Durva.

The same way Ganpati ( Vinayak ) are worshipped in different forms and Varn ( skin colour) and each signifies different persona of them as God .

Ganesha is often described as red in colour.[77] Specific colours are associated with certain forms.[78] Many examples of color associations with specific meditation forms are prescribed in the Sritattvanidhi, a treatise on Hindu iconography. For example, white is associated with his representations as Heramba-Ganapati and Rina-Mochana-Ganapati (Ganapati Who Releases from Bondage).[79]Ekadanta-Ganapati is visualised as blue during meditation in that form.[80]

source: https://en.m.wikipedia.org/wiki/Ganesh

These Prime Deities are not only worshipped in Indian subcontinent but in around the globe with little altered names and forms.

Thought is incorporation of the concept of different skin colour and then too giving the values and equal significance in their form . Yes their color defines their persona and with each of it they are still worshipped with equal integrity and devotion. Even if as concept how beautiful it is that how whether the form is different or color , even the form as animals like Narsimha and Vinayak , Hanuman , Matsya , Varaha which were absolutely animal forms of gods took avatar to protect Dharma and spread it among humanity,And that's the beauty of it how they could see the divine in each being despite the form and appreance. But Dharma is always a teaching one should learn from . Teachings of Sanatan and Vaidik Scriptures has always shown the same and concept of equality like how even divine are being capable enough to be free beyond karma are still bound to it by the rule of Dharma and thus preventing and maintaining the order and structure in the cosmos and in humanity.

ॐ असतो मा सद्गमय । तमसो मा ज्योतिर्गमय । मृत्योर्मा अमृतं गमय । ॐ शान्तिः शान्तिः शान्तिः ॥ Om Asato Maa Sad-Gamaya | Tamaso Maa Jyotir-Gamaya | Mrtyor-Maa Amrtam Gamaya | Om Shaantih Shaantih Shaantih ||

https://youtu.be/4JBxzNFd3pI