Here is the full list of all 16 Back to Bed (JP) trophies - there are 12 bronze and 4 silver.
Send 10 wheel clocks over the edge.
Walk through portals 30 times.
Open a door in nightmare mode.
Skip five cut scenes.
Get Bob safely to the end of the last level.
Allow Bob to be woken by a dog, an alarm clock, a whale train and a manhole.
Scare five chess pieces.
Help Bob through the first dream world.
Use the fast forward function for a combined 5 minutes.
Retry a single level 5 times.
Complete the first 3 levels to learn the basics of the game.
Spend 10 minutes in one level.
Make Bob walk over the edge 10 times in a single level.
Complete the first dream world in nightmare mode.
Complete the game in nightmare mode.
Complete levels 1 - 30 in under 45 minutes.