Honestly, I never bothered to get into the Tomb Raider series because I just felt like there were way too many of them to get started. This looks like more of a Tomb Raider origin story, so I might just give it a go.
^I thought the same about the original games back in the 90's and it wasn't until I played a demo of Tomb Raider Anniversery on Steam that I actually got into the series. Still haven't played any of the pre-Crystal Dynamics games, but I picked up Anniversary, Legend & Underworld on the cheep and had a lot of fun.
As for the new game...I'm interested, but it looks like quite a gameplay departure and I do worry they're trying to compete a bit too much with the likes of Uncharted--which does nothing for me--so I'm just going to wait and see.
I tried playing the old Core Design Tomb Raiders for PlayStation and could never get into them, but I absolutely love the three Tombs Crystal Dynamics have done. That said, I'm really looking forward to this reboot.