I played Eve in beta. Just wasn't my cup of tea. I didn't like the fact that you couldn't get out of your ship and interact as a character in space stations and cities. One of the guys I worked with at my last real job plays it and can drone on and on about his exploits, the corp he's with and the battles they get into.
I play a bit of Warhammer Online. My buddy that plays WoW religiously keeps nagging at me to play a real game but I like Warhammer. I'm eagerly awaiting the Warhammer 40k MMORPG that is due out sometime in the future.
I play some BF3.
The other game that I play from time to time is WWIIOL which is a MMO with a single arena that is a half scale map of Europe and it simulates the early stages of WWII with technology advancing through the later stages until the victory conditions are met, then the map resets. You can play Germans, Brits and French and they just introduced the US into the game. You can play as infantry, armour, field guns, movers (trucks, half tracks and transport aircraft), combat aircraft, bombers, patrol boats and naval vessels... pretty much every type of unit that existed you can play. Battles range over may miles in both the countryside and huge cities. As far as combat games go, there's really nothing else like it.