Critical Dissonance: An interesting case for both films. The first one was a smashing hit and still holds couple records regarding the money it made, while the critical reception was lukewarm at best. The second film had much warmer reception from critics (still far from good), but barely made any money and fandom denies it exists.
Fanon Discontinuity: As far as anyone ever claiming to be Tomb Raider fan is concerned, the second film never happend.
First Installment Wins: The main complain about the second film is how seriously it treated itself. Which was especially jarring when compared with games it was based on and the self-awarness of the first film. The exects blamed instead the turbulent situation the game franchise was facing around the same time.
Foe Yay: A fair bit in the first movie. Besides the more obvious Alex/Lara, there's a significant bit of flirting between Powell and Lara. Though in the latter case Lara isn't particularly fooled.
Ho Yay: Hillary spends the better part of The Cradle of Life living in Bryce's trailer. At the end of the film, Lara meets up with the two of them as they are being groomed by a group of tribeswomen. For their wedding. They beat a hasty retreat, but one must wonder what gave the women that impression. It's possible they were being dressed up to marry women in the tribe, but that's sure not the impression you get when you watch it — and if they're running away from being married to women, doesn't that make it even more suspect?
Video-Game Movies Suck: Zigzagged. Although there's a fair bit of Critical Dissonance, (scores of 19% for the first and 24% for Cradle of Life on Rotten Tomatoes) most viewers tended to find the movies to actually be pretty good (about 60% for both among viewers on Rotten Tomatoes). If nothing else, they're considered far better than the average video game movie, and even after 13 years worth of inflation, the first film is still the highest grossing game-to-movie by far.