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It mostly depends on where the game takes place.
You could have a big desert area, with lots of Ground types.
It's a mostly hot and dirty country, so Poison and Fire types.
A lot of Psychic types too, because of the mythology.
There would definitly be Cow and Tiger Pokemon.
Consider how the have some bodies of water they consider holy, some water based Legendaries are a must.
The main Legendaries can be anything. There's a lot to choose from. If they go with the most popular choice, they could use the Trimurti.
Brahma the Creator
Vishnu the Preserver
Shiva the Destroyer
Seeing how different religions cause a lot of conflict in India, this could be the inspiration of the evil teams.
There could be two teams, one worshiping and wanting to meet Brahma-Legendary to change the world, while the other wants to meet Vishnu-Legendary. This fighting angers the Shiva-Legendary, and it's your job as the player to stop him from destroying the region.
Know that my knowledge of India is very limited. All this is what I gathered from a quick google search. But all in all, I think it could be an interesting region to play in, if we can tolerate the poo in the loo.