There is another alternative, assuming that psx works the same as snes. There are two ways to do each blitz, one involving the diagonals, and one not. Here are the ones that do not:

(btw, these are the snes controls, so it wont be X and Y, but whatever the consecutive buttons are on the psx controller, most likely triangle and square respectively since they are in the same locations.)

Pummel - left, right, left
AuraBolt - down, down, left
Suplex - X, Y, down, up
Fire Dance - left, left, down, down, right
Mantra - R, L, R, L, X, Y
Air Blade - up, up, right, right, down, down, left
Sprialer - R, L, X, Y, right, left
Bun Rush - left, left, up, up, right, right, down, down, left