First of all, if you want to play a really detailed wrestling sim videogame that focuses on managing a promotion instead of "press X and Square to elbow drop" combat gameplay, go find Grey Dog's Total Extreme Wrestling. I have a friend who loves it. Complex management sim isn't my thing, but it tracks a huge amount of info on wrestlers, multiple kinds of technical ability, multiple kinds of working crowds, selling, overness, gimicks... all that means you can actually make good decisions - I like to hear him talk about playing even if it's not a game I'd play myself. There's a demo, so give that a whirl.
He did an introduction / explanation to it on the rpgnet forums, you'd probably be lost without it as I think a good tutorial is something it lacks.
As for tabletop wrestling games? I love the idea of both in-kayfabe and out-of-kayfabe games. I dunno what I'd use specifically, but I'd probably want to use a narrative system because wrestling to me isn't about just combat, it's about good storytelling. I mean, this may sound like an insult but it's not intended that way - it's like soap opera where most of the problems and conflicts are solved by fighting in the ring. I wouldn't want a system that was all combat because psychology should come into it, crowd response and backstage should come into it, and the story shouldn't just be dominated by whoever has a broken D&D build. If I wanted to run a "wrestling" game that consisted of "punch each other and grapple a lot" I'd use a combat system, but I'd want something that contained the plotlines. I like wrestling over MMA specifically because I want to see interesting stories and content that's more than just one guy punching another in the junk for ten minutes though I would happily watch "ten minutes of ultimate warrior being punched in the junk, that would please me.
Also, all these replies and nobody mentions CHIKARA? Damn, /tg/. Go find and watch some CHIKARA.