In 2010, 2K games announced that they would be reviving the X-COM franchise in the form of a first person shooter. This was met with much rage, due to 2K taking a beloved old franchise and turning it into something vastly different that had nothing to do with the previous games except for its name and having aliens invade earth. As we all know, 2K received so much negative feedback that they decided to make a much more fitting game, XCOM: Enemy Unknown, and the XCOM FPS was never heard from again to this day.
For some reason, Tomb Raider doesn't get the same response. Lara Croft is a completely different character - she doesn't look, sound or act like the way she was liked/disliked for (depends on personal taste), and the gameplay is now about on shooting and sneaking rather than platforming and puzzle solving - basically changing genre from action-adventure to third person shooter with stealth elements.
I'd like to say that this doesn't have anything to do with the quality of the game, but whether it was right to call it a Tomb Raider game, when it's different to the point where under a different name it wouldn't be seen as such. Can you imagine this game being called a Tomb Raider successor/clone/ripoff if it had a different name?
So, is it as similar to the X-COM case as I think it is? If so, why didn't it get the same reaction?
EDIT: It seems that most people's replies are about how awesome the new game is. As I said before, it's not about whether or not it's better, but whether or not it's actually Tomb Raider, or a completely different game using its name.