While doing this legit isn’t too much trouble with the save feature and the option to lower the difficulty, there’s a way to get this achievement even more painlessly:
1. Have a second controller ready and waiting
2. Select arcade mode with your first controller
3. Wait until the match begins against your first opponent.
4. Join the match with your second controller, making sure to pick the SAME character you were fighting against. Beat your second controller with your first.
5. Repeat this step with every fight until you beat Sagat and get to M. Bison.
6. Unfortunately, you still have to fight Bison legit, although if you make use of the handy save feature every time you land a decent hit then you’ll be fine.
7. Once you beat Bison, the achievement will unlock.
Congrats on the achievement!