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