Radball is what you're looking for. It's soccer on fixed gear bicycles, you can only touch the ball with your bike (except the goalie), and you can't let your feet touch the ground.

Earth Defense Force is a terrible looking game with an even worse premise and is fun as hell.

Yeah, the first one on the 360 was called Earth Defense Force 2017 (actually the 3rd game in the series). I've played a bunch of EDF 2017 and 2025 and they are so fun. I'm glad they're still making them; those games are so over-the-top. If you don't care about graphics and just want something fun, I highly recommend.