Here is the full list of all 17 Twisty Puzzle Simulator achievements.
Solve all puzzles with achievements
Solve any puzzle
Solve the 2x2x2
Solve the 3x3x3
Solve the 3x3x4
Solve the Bandaged 3x3x4
Solve the 24 Cube
Solve the 48 Cube
Solve the Binary Dwarf Planets
Solve the Binary Planets
Solve the Mixup Octahedron
Solve the Sol 17
Solve the Luna 25
Solve the Mixup Cube
Solve the Sol 25
Solve the Mixup Cube Plus
Solve the Mole Cube