I am kind of a game designer. Not good by far but I can when I want to. I want to know what kind of games you like. You can give an example or just tell the type.
Scrolling shooters-something like
http://www.sharenator.com/Bloons_Super_Monkey/ with the automatic shooting or would that be better if it was click to fire.
Platforms like Mario.
Come up with your own. I might be able to make it.
And one more thing- A moti just for YOU!
http://tv.disney.go.com/disneychannel/liloandstitch/games/sandwichstacker/
No seriously, i like game that have different choices with game modes e.g. time trial (for a 5 minute blast), campaign (for unlocking crazy cool stuff) etc. :)
Back on topic, something fairly violent and science-fictional, reminiscent of the Brink of Alienation flash games