The short of it is, this game is fun. It takes all the best elements present in other action-adventure games, including past installments in the Tomb Raider series, and throws them into one package. It's plot and story are excellent - the dark tone and convincing visuals, voice acting and soundtrack all draw you into Lara's adventure. This game is totally worth playing through the campaign. You'll be challenged, stressed, sickened, and, most importantly, highly entertained.
The long of it is...
1. If you like the Uncharted series, you will love Tomb Raider and you need read no further. The gameplay, character design, cinematography, and more are all very reminiscent of Uncharted. I would say Tomb Raider ripped off Naughty Dog (publisher of the Uncharted series)... Let's just say team Tomb Raider was really, really inspired by Uncharted and wanted to pay them a deep compliment by borrowing generously from the Uncharted Formula.
2. The graphics are stunning. I'm amazed that the XBOX 360 can render some of the graphics this game pulls down. It's gorgeous. Great skys, mountain vistas, creepy tombs and caves, and convincing animals. When it's supposed to be lovely (think exotic jungle, stunning mountain range, colorful sunset, or Lara), it's lovely. When it's supposed to be grimy and gross (think tombs, caves, wolves, and ... again, Lara - after a kill), it's grimy and gross. It's just motion-picture quality production.
3. Also presentation-wise, the voice acting is superb. I wasn't too keen on Lara's new voice when I saw the trailers, but the voice actress really sells the whole story. You're right there in the action, thanks to the voice work.
4. The soundtrack is awesome! It really sets the mood perfectly. At turns emotionally moving, tense and suspenseful, and sweepingly adventurous. Speaking of mood ...
5. If this Lara Croft becomes the amazing, unbeatable, super-heroine of "later" Tomb Raider games, it's because of her experiences in this reboot. "Harrowing" doesn't begin to describe the journey this character takes. This is, I would say, the one departure from the Uncharted formula (whose protagonist is very happy go lucky, and the subject matter dramatic, but light). Tomb Raider is dark, scary, bloody, and tense. I was 100% drawn into the story because they did such a good job with the tone. Gone are the hokey, cartoony (in retrospect) tombs of the PS1 days - this adventure is a nail-biter. When Lara is hurt, you believe it, from the blood and the cries. When she dies (which can be often - the game has its share of difficult parts), the deaths are stomach-turning, gruesome, and violent. There's no gloss to the violence in this game. You'll know what I mean when Lara kills her first human.
6. The gameplay in the single player campaign is phenomenally fun. It's the perfect mix of puzzles, action, exploring, all without getting too bogged down in one or the other. There are quick-time events (press X, quick! press y, quick! shake the L stick back and forth, quick!), but they're not too frequent, I don't think. Anyone familiar with Uncharted will probably find fewer here than on that PS3 series. I think they're necessary for the edge-of-your-seat sequences in which they're employed, to keep you in the story.
7. The story is short. I rented Tomb Raider from Redbox and finished the campaign in about 12 hours (hey, what can I say, it's Spring Break). I only did three of the optional tombs, and played the online multiplayer for about 1/2 hour. I would say rent it, if you can. Why spend $60 on a game that, while awesome, can be finished in a few days (you'll still only spent $6 if you keep it three days). Unless you REALLY want to take your time with this or want to buy it to support Square Enix so they can fund a sequel (which, I'll grant you, would be awesome), just rent and save it from sitting on your shelf. If the multiplayer were better, that would be a different story, but ...
8. The multiplayer is not very fun. Part of the great thing about the combat in the campaign is that it's short and sweet, used sparingly, where appropriate. And some of that is the more "stealthy" combat. When it's all combat, all the time, like in online multiplayer, it loses its charm, and just isn't fun. Multiplayer in third person can be hard to pull off (just ask Rockstar about Max Payne 3). I enjoy a good deathmatch online, but I didn't find one here. Again, rent it to see for yourself, but I thought the multiplayer was the only weak link in this chain.
9. Play this game. It was the most fun I've had with a video game since Uncharted 2.
UPDATE:
Originally, when I wrote this review, just after the release, I recommended that you rent instead of buy. Now that the Amazon price has dropped from $60 to around $45, the reasons I had for suggesting rental don't hold as much water. At $45, I would say it's probably worth it to buy the game, take your time luxuriating in the world Square Enix and Co. have developed, dabble in the subpar multiplayer, and get the 100% completion. It still may be a toss up at $45 (I haven't bought it myself yet), but as the price creeps closer to $30 - it will be a no-brainer to buy.