If you enjoy shooters that make you feel manly and well-endowed, Crysis is your game.
The nanosuit dynamic is excellent and there are many ways to use it's abilities effectively in combat. You can sprint as fast as a car, knock over a couple guys, then 1-shot punch them in the neck while they are getting up. What's not to like?
One of the best aspects of Crysis is it is very re-playable. I've probably put 45-50 hours into the game on single player (I usually don't bother with multiplayer).
The graphics are amazing and few games come close to the realism in Crysis. Unfortunately, the game looks terrible on medium settings and lower. The difference between high and medium graphic settings is HUGE, so I DO NOT recommend this game unless your system can play it on max or near-max settings. The motion blur looks incredible if your computer can take it, which is my favorite aspect of the graphics.
Probably the biggest problem with Crysis is the physics system. Not many games are worse. For example, I once drove over a corpse and the car flipped over like it weighed 10 pounds. Huh? Usually the bad physics are easy to ignore though.
The storyline is not bad albeit fairly one-dimensional--it has strong macho-militaristic overtones which annoy some people (including me). It's nowhere near game ruining, but you'll often say to yourself "Wow, that line was overly dramatic and cheesy." Then you will blow up North Koreans and forget about your petty gripes.
There's really only one thing I'd personally like to see changed beyond the obvious physics and whatnot: I want to see horribly gruesome and unnecessary gore. I mean come on, if you blow up someone with a grenade, they are sure to lose a few limbs, right? I guess that's an issue related to the physics though.
I guess to sum it up: Don't expect Crysis to be an amazing experience unless you can overlook the often dumb script and bad physics, and you MUST have a high-end system to fully enjoy the game. Seriously, the graphics are half the reason why it's enjoyable to play.