Theres not that many moves in Muay Thai, it's very very basic but absolutely lethal. Clinching and kneeing to the face, kicking to the leg, straight punching. All the fancy stuff you see in Tae Kwon Do is nice, I've done plenty of it and had loads of fun but when faced with a real situation I'm not dumb enough to use it, 360 crescents WILL get you hurt lol. Yes boxing is far more complex, using footwork to maximize punching power and hand speed. It just has to be modified a little bit when it comes to street fighting - can't go out there trying to win rounds. And I've seen on more than 1 occassion Muay Thai vs Tae Kwon Do, and it's never good for the TKD fighter.

These are all the weapons of Muay Thai:
http://www.thaiboxingsuit.com/article/weapon

Also when you're learning to bang Thai style, they deaden the nerves on your body so things don't hurt as bad (painful process). Those guys can take lots and lots of pain. Body hardening like a mother fucker