By performing certain actions in Tower Climber Mode, you'll unlock special achievements in the Results menu.

Achievement	How to unlock
Tower Climber Mode Achievement #1	Clear Everest Off.
Tower Climber Mode Achievement #2	Climb 100 lines.
Tower Climber Mode Achievement #3	Climb 500 lines.
Tower Climber Mode Achievement #4	Climb 1,000 lines.
Tower Climber Mode Achievement #5	Climb 5,000 lines.
Tower Climber Mode Achievement #6	Climb 10,000 lines.