As you travel throughout the six levels that precede your journey to confront Dr Wily in the original Mega Man, you will need to face his six Robot Masters and obtain their weaponry.
Here are all the weaknesses for each of the Robot Masters that you will need to defeat in the original Mega Man.
Weakness: Fire Storm (Fire Man)
Weapon Gained Upon Defeat: Hyper Bomb
Weakness: Ice Slasher (Fire Man)
Weapon Gained Upon Defeat: Fire Storm
Weakness: Rolling Cutter (Cut Man)
Weapon Gained Upon Defeat: Thunder Beam
Weakness: Super Arm (Guts Man)
Weapon Gained Upon Defeat: Rolling Cutter
Weakness: Hyper Bomb (Bomb Man)
Weapon Gained Upon Defeat: Super Arm.
Weakness: Thunder Beam (Elec Man)
Weapon Gained Upon Defeat: Ice Slasher
Although you can defeat the Robot Masters in any order that you choose, there is a route that you are able to take that will dramatically reduce the difficulty of the game.