Here is the full list of all 13 Elliot trophies - there are 1 silver, 11 gold and 1 platinum.
Achieve every other achievement
Play more than 10h in one game
Die 100 times
Finish final boss hitting only one missile
Finish second boss level
Finish first boss level
Finish the game without dying
Finish the game in less than 1h
Read the whole story
Finish the game collecting every note
Finish the game
Complete episode 1
Watch first cinematic