The only thing really big coming out right now is Soul Calibur 3, which isn't scheduled until the fall sometime.
Here's what I'd reccomend:
-Dead Or Alive Ultimate (Xbox)- Great for multiplayer and made so anyone can pick and play. You can even do four players in the tag mode. Has online play. ($49.99)
-Soul Calibur 2 (Multi)- 3D weapons fighting; also plays well yet is mash-friendly so anyone can get right into it. It's a greatest hit so you can get it for less than $20.
-Tekken 5 (PS2)- The newest PS2 3D fighter; it's more like Tekken 3 than Tekken 4 and plays great. ($49.99)
-The King of Fighters 2002/2003 (PS2)- Two great 2D fighters in one package; the game play and rosters are different enough in both games to really make them stand apart. 2002 is the classic KOF style game play with some new elements from the previous games, and 2003 is the start of a brand new game play style with a tag system that lets yoyu change out characters during battle. ($39.99)
-Street Fighter Anniversary Collection (PS2/Xbox)- Same as the above; you get Street Fighter III 3rd Strike and Hyper Street Fighter II, plus the animated Street Fighter II movie is also included on the disc. Highly reccomended, and get the Xbox version if you can since it has online play. ($29.99)
-Virtua Fighter 4 Evolution (PS2)- The deepest 3D fighter out there without a doubt, but since it lacks the flash of the other games and is going to take a lot more work to really get into, it's not going to be for everyone. Get it if you're a hardcore fighting fan. ($19.99)
Since you say you don't have the patience to learn combos, I'd probably go with Dead or Alive followed by Soul Calibur.