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