Here is the full list of all 13 NeuroWorm (JP) trophies - there are 2 silver, 10 gold and 1 platinum.
Beep-boop-burp, congratulations!
Confirm that you're not a human.
Finish the first episode.
Finish the second episode.
Finish the third episode.
Finish the fourth episode.
Finish the fifth episode.
Beat the final boss.
Die by crashing into an obstacle during the timeskip.
Die by catching your own tail.
Die by speeding into an obstacle.
Die by hitting a mine.
Die in the first level.