FPS and RPGs will have a very long life ahead in gaming imo. And I agree with you Battle Royale was on its peak the last year, probably from now will decline.
I feel strategy games will withstand the test of time. Look at chess, for example. That game's pretty old. Games that have set rules that don't particularly deviate from them are appealing to most because it's more about optimization than familiarization.
Platformers in general.
Just the basic skill required is full of small wins and easy complexities.
Mario has survived for so, so, so long for a reason.