Here is the full list of all 24 Kiai Resonance achievements.
Fight in the 1 player mode
Win a match in 1 player mode (5 victories minimum)
Finish the tutorial
Fight in the 2 players mode
Use Rush Option
Win a 10 victories match in 1 player mode
Win 5 matches in 1 player mode (5 victories minimum)
Win 10 matches in 1 player mode (5 victories minimum)
Lose 10 matches in a row in 1 player mode
Complete 5 challenges
Complete 10 challenges
Complete all challenges
Win 5 online matches
Win 10 online matches
Win an online match
Reach the Mononofu rank
Reach the Ronin rank
Reach the Chugen rank
Reach the Bushi rank
Reach the Kashira rank
Reach the Shusho rank
Reach the Urawashii rank
Reach the Hatamoto rank
Reach the Shogun rank