Game suggestions for vertical 4 way + 1 button (from my top 40)
Burger Time, Dig Dug, Donkey Kong, Donkey Kong Junior, Donkey Kong 3, Frogger, Galaga, Galaxian, Gorf, Jr. Pac-Man, Mappy, Moon Cresta, Ms. Pac-Man, Pengo, Phoenix, Pooyan, Pac-Man, Space Invaders
2 buttons adds (top 40):
Dig Dug 2, Jumping Jack, Lady Bug, Mr. Do's Castle, Qix, Space Panic
3 buttons adds:
Tutankham
4 buttons adds:
Chinese Hero, KO Punch, Street Heat
So as you can see, after 2 buttons the number of games drops off dramatically (and there's lots more that only needs 1 & 2 buttons).