Jump Button Challenge

Try to get through the stages with the least amount of hitting the jump button. Any character is allowed. In case of ties, fastest time will be used.

Provide a demo or video for validity.

I've put up my GFZ records to get things started.

GFZ1: 0 in 1:51 (Kaysakado as Sonic) http://kaysakado.googlepages.com/GFZ1Button.lmp
GFZ2: 0 in 2:08 (Kaysakado as Sonic) http://kaysakado.googlepages.com/GFZ2Button.lmp
GFZ3: 6 in 1:117 (Kaysakado as Sonic) http://kaysakado.googlepages.com/GFZ3Button.lmp

THZ1:
THZ2:
THZ3:

DSZ1:
DSZ2:
DSZ3:

CEZ1:
CEZ2:

ACZ1:

RVZ1:

ERZ1:
ERZ2:
ERZ3: