This game is very short, eight levels (Well, seven plus a boss-fight). Also, Like all TR games since II, Lara spends more time gunning people down than actually, y'know, raiding tombs. I don't have any objection to shooting games, I've put in time in various GTA editions and Doom clones, but that's not what I want from Tomb Raider.
The story is entertaining, and there are a couple of really stunning visual moments (Lara: muses on the possibility of going into the postcard busnies at one point). However, the levels are short and liniar. There is one path through each and you will never get lost - although some of the puzzles are extremely non-obvious.
Graphically, This game runs the PSP's cpu at 222mhz and it shows. There are several parts that suffer from slowdown, and the graphics are not as good as they could have been if the cpu could run at full tilt. Load times are also annoyingly long. Load times are especialy inffuritaing when one is forced to re-play one of several extremely difficult jumping-sets, one will spend more time watching the load bar than re-trying the jump-sequence. These sequences themselves are only difficult because of the poor camera controls, and the slightly non-responsive movement controls. One can never be completely confident that Lara will actually do whatever it is one wants - and when split-second timing is required, this is fatal.
The game does have good points, a fun storyline, a very sensible non-bottomless backpack, a ton of secrets and unlockables (although they only ad maybe 100% to the game's short lifespan) and, when you can get the controls to work, Lara moves nicely, with a couple of new acrobatic tricks to her repetior. It is a fun, albeit throwaway game. Don't pay full price for it.