Here is the full list of all 20 Back to Bed achievements. It takes around 3-4 hours to unlock all of the achievements on Windows.
Retry a single level 5 times.
Complete the game in nightmare mode.
Complete the first dream world in nightmare mode.
Spend 10 minutes in one level.
Play the game at 13:37.
Open a door in nightmare mode.
Complete levels 1-30 in under 45 minutes.
Send 10 wheel clocks over the edge.
Complete level 8 in the second dream world by having Bob take a shortcut.
Walk through portals 30 times.
Complete level 8 by moving only one apple.
Skip five cutscenes.
Watch the credits to the end.
Get Bob safely to the end of the last level.
Scare five chess pieces.
Allow Bob to be woken by a dog, an alarm clock, a whale train and a manhole.
Help Bob through the first dream world.
Make Bob walk over the edge 10 times in a single level.
Complete the first 3 levels to learn the basics of the game.
Use the fast forward function for a combined 5 minutes.