STROKE PLAY - One to four players. Best result after the 18 holes wins.
MATCH PLAY - Two players compete against eachother by every hole, the one that finished most holes wins.
TOURNAMENT - One to four players plays against 60 computer-controlled players 18 holes.
VS HAL - Compete with the Pro-player Hal. If you win you'll receive a password that ables you to use the same kinda metal-clubs he uses. When you've got the password you can use the clubs in every game.
--From the SNES Hal's Hole in One Golf instruction manual.