Yes, 32GB Verizon model. Gets unusually (compared to iPad2) warm when browsing web, or using light apps. Gets really hot when playing games. By very hot I mean hard to hold. iPad 2 got warm when playing games, but never hot.
I posted on apple forum as well, really want to figure out if it's all of them, and just return it unless it cures itself, or if I got a defective one.