Here is the full list of all 27 Bound trophies - there are 8 bronze, 13 silver, 5 gold and 1 platinum.
Complete all five Memory Shards mosaics
Collect all Memory Shards in the Pearls level
Collect all Memory Shards in the Planes level
Collect all Memory Shards in the Steam level
Collect all Memory Shards in the Shout level
Collect all Memory Shards in the Trees level
Complete the Chess level in less than 00:06:00
Find the hidden island on the Planes level
Find the hidden island on the Trees level
Complete the game a second time, choosing levels in a different order
Find the hidden island on the Steam level
Find the hidden island on the Shout level
Complete one level from the Speedrun menu
Find the hidden island on the Pearls level
Discover a shortcut
Dance for one minute
Adjust picture settings in Photo Mode
Complete a level using one of the intentional sequence breaks
Collect all the trophies
Complete the game in one session without dying (with Edge Guard turned off)
Complete the Trees level in less than 00:05:05
Complete the Shout level in less than 00:04:30
Complete the Steam level in less than 00:06:15
Complete the Planes level in less than 00:06:40
Complete the Pearls level in less than 00:04:45
Complete the game in less than 00:50:00
Complete the game in less than 01:05:00 and collect every Memory Shard