There are quite few disparate collections of stories and myths from India. My suggestion would be to start with the Mahabharata, it is a whole literature in it

There are quite few disparate collections of stories and myths from India. My suggestion would be to start with the Mahabharata, it is a whole literature in itself and is at par with some of the best in the world. Start with a summarised version(The version by C Rajagopalachari is quite popular) and if you like it you can explore it in-depth with the version by van Buitenen or Kisari Mohan Ganguli.