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
Complete the game without failing a puzzle
Complete an entire run of Expert mode
Complete an island a second time through level select
Pass a puzzle after failing it 5 or more times
View the credits screen after playing the game
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