What Xbox 360 Online Games Are Any Good Not Including Halo 3? Fighting Or Racing Games Ideally?

Hey, im trying to find something on xbox live that me n my gf can play other than halo 3 (we play that far too much). Would like some ideas on other genres too ideally other than FPS games. Which are the best fighting or racing games with online play etc? any help would be great!!

How Come There Are Not Any Fighting Games Or Games In General On Psp That Can Go Online?

I have seen several fighting games on PSP but most of them I have heard can not go online, there are tons of DS games that can go online, or to be honest most games that cannot go online. I plan on getting a PSPgo around Christmas or later. But why are there no games I have seen or fighting games that can go online???