Tell you what -- I'm not very good at first-person shooters. And since Team Fortress 2 has been out for years, the learning curve is way out of my reach; but I kind of dig on the brassy, big band soundtrack. What to do?
Play Dylan Loney's Great Class Dash, a 2.5D sidescrolling platformer based on TF2's nine classes, natch. Today marks the game's first public release, and a cursory glance at the trailer reveals a Canabalt-inspired romp through Canada, Egypt, a swamp, and a volcano. Everything -- the animation, the character models, the environments -- looks really crisp, although I do wish the camera was a little more zoomed in on the action. Though I suppose that'd make it harder to see upcoming environmental hazards and switch classes (on the fly!) accordingly.
There don't seem to be any enemies, but each class has a special ability that will help you get through the game: The Scout can double jump over large gaps; the Heavy can break barriers; the Pyro's flame-retardant suit keeps him safe from fire and steam; and so on and so forth.
Loney originally developed The Great Class Dash for a level design contest, but he got enough positive feedback to keep the project going. You can download it here.