I really like games with awkward controls, or controls that take some learning. A lot of old games seem to work like this, but for some reason mastering their control is approached as a part of mastering the game, rather than as a deficiency in their design.
This post is to get the ball rolling, the mind ticking, and to be somewhere to dump ideas.
Probably any genre with RC movement will work.
You are most welcome to make suggestions, or use the idea yourself, like EffBee's ace Pretend You're Platforming. I doubt I'm the first to come up with it!