Baseball--I was a huge fan of the MLB Slugfest series. The over-the-top play and simplicity of the game appealed to me. I will take this over a simulation style baseball game 9 times out of 10. I did enjoy the MLB 2K12 demo I downloaded on PSN though. After that I downloaded The Bigs 2 and I probably like it just a bit better. What is interesting about baseball games for me is that the RBI series from the Nintendo days still holds up well for playability in my opinion. Technically that was a sim, but looking back it feels more arcade-y due to the simplicity of it.
Basketball--Again, I don't dislike the sims here like NBA Live. Basketball lends itself to more of an arcade style game for me though with entries like NBA Jams and NBA Street. NBA Street is really underrated to be honest. I didn't even know a version came out for the PS3, but once I found out I tracked down a copy. It's NBA Street: Homecourt if you are interested.
Football--No offense to NFL Blitz (which was fun), but I want a simulation style football game in the vein of Madden or preferably NCAA Football. Due to the recent licensing change we will be getting College Football '15 next year by the way. The NFL Street games were fun as well, but the sims still get the nod.
Soccer--I haven't bought a soccer game since the Sega Genesis days, but through demos I have been exposed to newer ones. The sims were surprisingly fun since I don't follow or watch soccer at all. FIFA Street was probably the one I enjoyed the most though. Fast-paced, more scoring and less clutter on the screen in a more tightly defined space.
That's my list. Right now I am looking to pick up some type of baseball game. Hopefully I will bring one home tomorrow if my used-game hunting goes well. As usual I would be interested to read thoughts on your preference of sports games. Leave a comment below or touch base with the contact information provided here on SAW.