If such thing existis I would play all day to gain money
Why they would pay you to play a game?
The only reasons I can think is to be a tester ou a really good gamer and win competitions
I looked at Google, and there were some projects like BUFF, HYPER, but now they are not active. Also there was a project called Playvig, which turned to sh*t:
https://www.reddit.com/r/PlayVIG/comments/8j4ri7/playvig_turned_to_shit/Here is a list of projects related to gaming, if you investigate thoroughly, you can find what you want:
https://cryptoslate.com/cryptos/gaming/EDIT: I think I found what you are looking for:
https://yamzu.com/