Complete stage 1 on the first loop (Settings>=Default and no co-op for all achievements)
Complete stage 2 on the first loop
Complete stage 3 on the first loop
Complete stage 4 on the first loop
Complete stage 5 on the first loop
Complete stage 6 on the first loop
Complete stage 1 on the second loop
Complete stage 2 on the second loop
Complete stage 3 on the second loop
Complete stage 4 on the second loop
Complete stage 5 on the second loop
Complete stage 6 on the second loop
Defeat Hibachi
Beat the first loop in one credit with the Type-A ship
Unlock the second loop by beating the first loop in one credit and dying two times or less
Unlock the second loop by beating the first loop in one credit and with a certain max HIT chain [See comments]
Unlock the second loop by beating the first loop in one credit and with a score of 50,000,000
Unlock the second loop by beating the first loop in one credit and getting the 13 bee bonus in at least 4 stages
Get all 13 bees in stage 1 without dying
Get all 13 bees in stage 2 without dying
Get all 13 bees in stage 3 without dying
Get all 13 bees in stage 4 without dying
Get all 13 bees in stage 5 without dying
Get all 13 bees in stage 6 without dying
Beat the first loop in three credits
Get a HIT chain of 150 in stage 1 on the first loop
Get a HIT chain of 250 in stage 2 on the first loop
Get a HIT chain of 50 in stage 3 on the first loop
Get a HIT chain of 250 in stage 4 on the first loop
Get a HIT chain of 350 in stage 5 on the first loop
Get a HIT chain of 300 in stage 6 on the first loop
Get a bonus of 67 ground stars at the end of stage 1
Get a bonus of 55 ground stars at the end of stage 2
Get the hidden 1Up
Make some flowers fully bloom in stage 4 as a tribute to a legendary developer
Get 100 Boss HITs out of a single laser bomb
Grab 10 big aerial stars during the boss fight in Stage 1, then finish it afterwards without dying
Grab 6 big aerial stars during the boss fight in Stage 2, then finish it afterwards without dying
Get the MAXIMUM Bomb Bonus to x5
Beat the boss of stage 4 without dying or using bombs
Beat the boss of stage 5 without dying or using bombs
Beat the boss of stage 6 without dying or using bombs
Beat the boss of stage 3 without dying or using bombs
Reach a score of 100,000,000 in one credit
Beat the first loop in one credit with the Type-B ship
Beat the first loop in one credit with the Type-C ship
Clear the first and second loops in one credit
Get the No Miss bonus in stage 1 on the first loop
Get the No Miss bonus in stage 2 on the first loop
Get the No Miss bonus in stage 3 on the first loop
Get the No Miss bonus in stage 4 on the first loop
Get the No Miss bonus in stage 5 on the first loop
Get the No Miss bonus in stage 6 on the first loop
Get the No Miss bonus in stage 1 on the second loop
Get the No Miss bonus in stage 2 on the second loop
Get the No Miss bonus in stage 3 on the second loop
Get the No Miss bonus in stage 4 on the second loop
Get the No Miss bonus in stage 5 on the second loop
Get the No Miss bonus in stage 6 on the second loop
From a new game, power up the weapon to max without dying