Here is the full list of all 13 HoPiKo trophies - there are 9 bronze, 3 silver and 1 gold.
Die in Under 1 Second
Collect a Console
Complete All Runs
Complete a Hardcore Run
Complete a Speedrun
Complete a Bonus Run
Complete World 01
Complete World 02
Complete World 03
Complete World 04
Complete World 05
Par a Run
Die 1000 Times