Here is the full list of all 48 Murasaki achievements.
Clear 10 rounds with Kairi
Clear Stage 2(accept all duels with both players)
Survive S2 midboss unharmed, without specials
Earn over 1000000 points on Stage 1
Clear Stage 1(accept all duels with both players)
Destroy 5000 blocks in total
Clear opening of Stage 2 unharmed (no specials)
Destroy 10000 enemies in total
Destroy 100000 junk pieces in total
Collect 100000 items in total
Fire 100 built-up shots in total
100 wall bumps in total ※Bump into the left or right wall
Destroy 1000 blocks in total
Clear game with Kairi
Clear game
Fire 1000 shots in total
Timeout S5 midboss unharmed, without specials
Clear 5 rounds with Kairi
Play Stage 5
World destroyed
Survive S4 midboss unharmed, without specials
Clear Stage 3
Clear Stage 2
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Clear Stage 1
Clear 20 rounds with Kairi
Clear 5 rounds with Satsuki
Clear 10 rounds with Satsuki
Clear 20 rounds with Satsuki
Clear Stage 5
Clear stages 1 to 5 in order with Kairi
Clear game with Satsuki
Clear stages 1 to 5 in order with Satsuki
Clear Stage 3(accept all duels with both players)
Clear Stage 4
Clear Stage 4(accept all duels with both players)
Clear Stage 6
Clear Stage 6(accept all duels with both players)
Survive S3 midboss unharmed, without specials
Collect red items from bosses
Clear 50 rounds in total
Earn over 1000000 points on Stage 2
Earn over 1000000 points on Stage 3
Earn over 2000000 points on Stage 4
Earn over 2000000 points on Stage 5
Earn over 3000000 points on Stage 6