Here is the full list of all 49 BULLET SOUL INFINITE BURST achievements.
Earned Tamashii gauge 2,000 magnification in total
Earned Platinum Medal at stage 4 of Bancho mode
Earned 50 HP items with your HP full in total
Earned Platinum Medal at stage 3 of Bancho mode
Earn 500 various bonuses in total.
Earn 50 collection bonuses in total
Earned Platinum Medal at stage 2 of Bancho mode
Kept a burst for 30 seconds
Earned Platinum Medal at stage 1 of Bancho mode
Clear stage 5 in Musou mode
Clear stage 4 in Musou mode
Clear stage 3 in Musou mode
Clear stage 2 in Musou mode
Clear stage 1 in Musou mode
Unlocked Musou mode
Watched a ending with Zenichi
Increased your coins' score rate up to 100,000 points
Break my highest score in caravan mode
Cleared a game without missing in caravan mode
Retried caravan mode
Watched a ending with Sadahl
Wawtched the ending with loop
Cleared stage 5 in normal mode
Cleared stage 4 in normal mode
Cleared stage 3 in normal mode
Cleared stage 2 in normal mode
Play a game to get in Piece of Cake
Cleared a game in caravan mode
Missed in caravan mode
Play a game to get in Turtle 10000
Cleared stage 1 in normal mode
Play a game to get in Red Hot Skull
Watched a ending with Yun
Cleared stage 5 in burst mode
Cleared stage 4 in burst mode
Collide against an enemy during a burst
Cleared stage 3 in burst mode
Cleared stage 2 in burst mode
Cleared stage 1 in burst mode
Beat a boss in a moment during a burst.
Recovered HP
Cancel a burst manually
Used 2 bursts in a stage
Used a burst
Play a game to get in FA-98 Stinger
Earned 25,000 coins in total
Earned Platinum Medal at stage 5 of Bancho mode
Shot down 25,000 units in total
Earned 25 and over medals in total