This may be a little out there, but what about combining elements from different popular game genres? You could have a game with elements of racing and FPSs that also switches over to a puzzle game and other stuff at times. It would require a good story to hold it all together, but that shouldn't be difficult. The protagonist can need to get somewhere fast, then when she gets there she has to shoot her way into a vault or something where she has to solve puzzles.
I feel there's a lack of adventure games and too many FPS.
Throw some adventure stuff into my idea above. I still think keeping FPS elements would be nice. I don't know if there can really be too many games in a genre. You aren't required to play them, but those who like them like variety, or the different experiences.
Another benefit of a game like this made for the Pyra is that it is similar to the Pyra, where it is a little bit of everything. It can be a highly polished tech demo showing off a bunch of stuff. Going with this diverse approach would allow people working on different parts of the game to do their own thing without worrying about what others are doing, while still working together with them on the whole project. I don't know how easy something like this would be to accomplish, but it seems interesting to me. I have no skills to make a game, so maybe it is a dumb idea.
