Inferno does but you also need a second 45-degree 4-way stick with a button to aim and shoot.
Jack Rabbit seems like it should use one. MAME has it as an 8-way joystick where you have to push diagonally to move. Nothing happens if you just up, down, left or right.
Good call on Inferno. (Williams)
Jack Rabbit
looks like the other diagonal games, but it definitely uses an 8-way stick.
Moving during game play uses
only diagonals, but entering high-score initials uses
only up/down/left/right.
Scott
EDIT: dgame has a more comprehensive list
here, but it still boils down to Q*bert variants, Congo Bongo variants, and Inferno.