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