Here is the full list of all 15 Flywrench trophies - there are 13 bronze, 1 silver and 1 gold.
Beat all Pluto levels
Beat all Neptune levels
Beat all Uranus levels
Beat all Saturn levels
Beat all Jupiter levels
Beat all Mars levels
Beat all Earth levels
Beat all Venus levels
Beat all Mercury levels
Beat Story Mode
Crash 100 times
Crash 1000 times
Repeatedly crash on the same color
Beat all Asteroid Levels
Beat Story Mode in under 2:50:00