This achievement requires you to complete Episode 4. Here are the list of moves in correct order:
Level 4-1: L, L
Level 4-2: R, R, U, R, U
Level 4-3: D, D, U, R, R, D, D, R
Level 4-4: L, L, R, D, L, L, L
Level 4-5: R, R, U, U, R, U, U, D, L, D
Level 4-6: L, D, L, R, R, D, R, R, U, U, R, R, U, L, L, D, D, L, L, R, R, U, U
Level 4-7: U, R, R, R, R, L, U, D, L, R, R, D, R, R, U, L, L, U, R, L, D, L, D, L, L, R, R, L
Level 4-8: U, L, R, D, D, L, D, L, L