While I was able to grind out most of the other versus achievements with Kyo, I had a hard time doing Super Cancels with him due to this game's generally difficult super move motions.
With that in mind, I ran through a couple of characters trying out different specials and supers and found that Benimaru has an incredibly simple super cancel:
Quarter circle forward + LP or HP -> 2x Quarter circle forward + LP or HP
also known as 236 + P -> 236236 + P
Set 1 round in the options, then set up a versus game against a second controller. For your fighter, select Benimaru and be sure to select lvl 5 so you have full meter. Your opponent can be anyone, but I recommend setting them to lvl 1 so they have 50% health. It's faster to recharge your meters via rematches than by grinding out moves until the recharge. A super cancel uses up 50% of your HD meter as well as a bar of super, so the most you can get before recharging is 2.
You can also use LP + HP to trigger an EX super, and have your progress stack towards that and the Super finish achievements.