Do you mean genres of story or mechanics of games?
The genres of story are unlimited, mysteries, fantasy, historic epics, romances (I’ve not found any educational games yet but I’m looking into trying that out in the future)
Mechanics are more limited. Games are nearly always branching stories as that’s what the code is designed to do. I made a 2 player game at one point which messed with the usual format:
[Hide and Seek (updated 10/12) (WIP)](Hide and seek)
I’m sure there are more creative things that have been done with graphics and effects but after a while you just can’t bug check them and they certainly won’t be hosted on this site.