Yeah, I'm thinking more of the "sim"-style sports games. It seems like the increases in tech have really helped them start to get more and more life-like.
Now, if you want an arcade-style sports experience, 2D is absolutely where it was at. My two favorite sports games of all time are
Tecmo Super Bowl and
NBA Jam Tournament Edition. I'd also recommend the rebooted
NBA Jam: On Fire Edition if you want more of that.
As far as shooters, I've never been a huge FPS fan, but I also see them as very different from 2D shooters like
Contra and the like, not to mention what we
used to call shooters and are now deemed "shoot-'em-ups" or "shmups".