I tried Tarnation. Screw that game.
Escape isn’t too bad after some practice.
Axon requires a mouse to earn the Hard badge. Mousepads just won’t work.
For new suggestions, Solipskier’s hard badge is really easy. Just get tips from anyone who got to Round 2 in the Kongrefeint tourney that just ended. :P
99 Bricks isn’t terribly hard if you’re good at Tetris and taking physics into account.
As a general rule, though, look for hard badges that rely on skill, not time. For example, something that mentions getting to a certain level (either experience-wise or progress-wise) will generally take a while to earn.
EDIT: I should mention that skill-based badges do kind of require you to have skill. I hope this isn’t a problem for you.