>>82466368rhythm game is a fucking no brainer. free promotion of the fuckton of songs they have, extremely high replay value, extremely low entry barrier, extremely high ceiling skill, basically new content every month or so.
puzzle games. the 3d suika game is a good first step, but they can certainly do their own official version of a puzzle game (other than a suika clone).
co-op platformer is something i'd personally like to see.