Here is the full list of all 35 Crimzon Clover WORLD IGNITION achievements.
Play with Type-II
Win against stage 1 Boss
Win against stage 2 Boss
Shoot 24 enemies at once using Lockon Shoot
Destroy all the arms parts of stage 2 Boss
Destroy over 6 big tanks during stage 1
Play with Type-I
Play with Type-III
Play with Type-Z
Win against stage 3 Boss
Win against stage 4 Boss
Win against stage 5 Boss
Win against EX Boss
Enter Double Break mode
Reach a break rate of x10000 in either ORIGINAL or UNLIMITED mode
Goes into boost mode for over 10:00 minutes in BOOST mode
Reach a boost count of 2500 in TIME ATTACK
Reach a total of 3 Millions star
Clear the BOOST mode in NOVICE difficulty (CONTINUE ok)
Clear the ORIGINAL mode in NOVICE difficulty (CONTINUE ok)
Clear the BOOST mode in ARCADE difficulty (CONTINUE ok)
Clear the ORIGINAL mode in ARCADE difficulty (CONTINUE ok)
Clear UNLIMITED mode (CONTINUE ok)
Reach the highest ranking in TIME ATTACK
Destroy all part of stage 1 Boss
Destroy all parts of stage 3 Boss
Destroy cannons over 15 times during the stage 4 Boss battle
Destroy 2 specific land structures during stage 2
Destroy over 8 specific medium ships before reaching a specific place during stage 3
Destroy over 19 specific medium size ships during stage 4
Clear the BOOST mode in NOVICE difficulty using no RESTART or CONTINUE
Clear the ORIGINAL mode in NOVICE difficulty using no RESTART or CONTINUE
Clear the BOOST mode in ARCADE difficulty using no RESTART or CONTINUE
Clear the ORIGINAL mode in ARCADE difficulty using no RESTART or CONTINUE
Clear UNLIMITED mode using no RESTART or CONTINUE