TR3 was the first Tomb Raider I ever played. I had no manual, and I got seriously ticked off trying to figure out the controls from scratch. The first thing I ever accomplished was to walk Lara directly into her own fireplace.

Even after I figured it out, the limited saves and cheap difficulty of TR3 were a major turn-off. (Really, starting the game off with a mudslide into multiple spike traps and a rolling boulder trap on a
tree branch? What were they
thinking?!)
Then I traded the game in and pretty much wrote the series off...
I couldn't help feeling strangely compelled to try it again though. The next time, I bought Tomb Raider II, with instructions, and from that point on I was hooked. I bought every game up to Legend, and even picked up a copy of Lara's book.
I really liked Legend at first, but I found that it was more fun to look at than to actually play. Also, I hated the idea of Time Trials in a TR game. To me the whole point of Tomb Raider is to take your time and explore every nook and cranny, not to try to clear levels and run through everything. That made it feel like just another unremarkable action game.
I've since gone back to the older games, and so far I have three favorites: Tomb Raider II, Tomb Raider III (as long as I have the cheat code to give myself plenty of save crystals), and Tomb Raider for the Game Boy Color.
That Game Boy version is really awesome. They faithfully translated the entire Tomb Raider control setup into a simple 2-button system, and that's really impressive. They even managed to give Lara a couple of new moves that she doesn't have in the other games, like being able to shoot her guns while climbing a ladder, or being able to do a backflip off of a ladder and land in a roll. I found it highly impressive, and I'm afraid it's sadly overlooked.