Here is the full list of all 13 Braid, Anniversary Edition achievements.
Complete the game.
Complete the puzzle for World 4.
Complete the puzzle for World 6.
Travel to the end of World 6.
Complete the puzzle for World 5.
Travel to the end of World 5.
Travel to the end of World 4.
Complete the puzzle for World 2.
Complete the puzzle for World 3.
Travel to the end of World 3.
Travel to the end of World 2.
Complete a full speed run, beating the challenge time.
Complete the puzzle for World 7.