Here is the full list of all 24 Kiai Resonance achievements.
Win 10 matches in 1 player mode (5 victories minimum)
Win 5 matches in 1 player mode (5 victories minimum)
Win a 10 victories match in 1 player mode
Use Rush Option
Fight in the 2 players mode
Complete 5 challenges
Win a match in 1 player mode (5 victories minimum)
Finish the tutorial
Fight in the 1 player mode
Lose 10 matches in a row in 1 player mode
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