To get the achievement that's called "Instant Annihilation", you'll have to win three matches in a row without losing.
The easiest way that I know how to do this achievement is by selecting Akuma and spamming his fireballs. To perform his fireball, or GoHadoken as it is called for him, first do
on the directional pad, followed by pressing either
or
on the right side of the Xbox One controller.
Stay at a distance and don't let the enemy get close, otherwise you could get decimated in seconds! As long as you keep spamming his GoHadoken, getting three wins in a row shouldn't be a problem!
Have fun and good luck!