Here is the full list of all 22 Wonder Boy Returns Remix achievements.
Destroy 50 rock and stone
Kill first boss
Get Tomtom doll
Good job!
Clear Practice mode
Clear Normal mode
Clear One coin mode
Clrear within 1minute
Get 500000 score
Kill 500 monster
Kill 6 monster at once
Kill spider at once by charge shot
Get 20 Tanya doll in one coin mode
Act V sign
Get hidden fruit 1-3 stage
Step on spring 5 in a row
Killed by goblin
After get ACHIEVEMENT of goblin, kill Goblin
Killed 5 time when Practice mode
Killed by boss's fire ball
Killed by collsion with boss's body
Drop and die in section of boss