Ropes are introduced so there's more scope for negotiation of areas: Lara can grab, go up and down, swing and gain momentum with ropes. Ropes will also be linked to some of the puzzles and may be used to activate switches, bells etc. Some ropes will be breakable.
Corner climb: Lara can now reach 90 degrees around corners whilst shimmying - this really opens up potential for traversing areas (in previous games Lara could only shimmy in a straight line and would have to drop when she reached a corner)
Doors may be opened simply with the hand, or they may be pushed and/or barged open.
Miscellaneous other moves - crowbar levels, running pick-ups, swim dash, and many more!
Existing moves are also modified for easier control, fluid animation etc.