probably all of them i mean if you try hard enough you can make any genre work well with 3 buttons,here are some examples:
Fps:mouse movement for looking,a button for walking and a button for interacting or jumping or what ever
Top-down:make the player go to the mouses position and also look at it which leaves you with 2 more button you can also make the player always shoot so you dont have to dedicate a button to it so you can use the other 2 freely
Platformer:maybe make it an endless runner and all you do is jump slide or dash
The list is long and i can go further so dont feel limited to these ideas and dont worry about chosing the right genre but try to be creative with it while keeping your scope down
Bonus tip:you can asign diffrent actions to double clicking or holding the button,so anyways good luck friend!