Here is the full list of all 12 PieceFall trophies - there are 8 bronze, 3 silver and 1 gold.
Complete the entire game in Expert mode in under 10 minutes
Pass a puzzle after failing it 5 or more times
Complete an entire run of Expert mode
Complete an island a second time through level select
Complete the game without failing a puzzle
Complete the game without using hints
Complete the Zen island
Complete the Polar island
Complete the Mirage island
Complete the Farm island
Place a piece after rotating it at least 12 times
View the credits screen after playing the game