Like odnerd said, the battery life can be crappy depending on what you're doing, also the power button can sometimes recede into the bezel and become hard to press, however, you can take your phone back to a verizon store and they'll most likely replace it as long as you have insurance on it, or it's still under a warranty. Another issue I've seen around the forums is small gaps between the bezel and screen. A few members have reported light leaks at the bottom of their screens, and others, like myself, just have a small gap at the top of the screen where a clip didn't connect.
Overall there aren't many serious problems like overheating...that I've heard of anyway. I'm going on having the phone for 3 days now and so far I love it. It's really quick and responsive. Just make sure you get a good case and screen protector for it. Also, you may want to get a car charger as well just in case your battery gets low while you're in the car. One more thing I should say is that the screen can sometimes be highly sensitive to electricity. I can hover my finger over the screen while in a text message, and it'll press a letter for me before i even touch the glass, though I've heard a pretty thick screen protector can fix that issue.