Here is the full list of all 19 Tinertia trophies - there are 6 bronze, 2 silver, 10 gold and 1 platinum.
Obtain all Tinertia trophies.
Clear Core World.
Clear Mines World.
Clear Sewers World.
Clear Slums World.
Clear Factory World.
Clear Metropolis World.
Defeat the ARC.
Beat ReCyclops without shooting it.
Beat Mines-01 without touching the ground.
Beat Sewers-07 under 7 seconds.
Beat Drone RamR0D without rocket jumping on it.
Beat Factory-02 without touching the ground.
Beat Guardian without using Air-Dash.
Beat Command-02 without stunning any Drones.
Speed-Run any World under 5 minutes.
Earn all Time medals.
Earn all Rocket Par medals.
Beat Boss-Rush mode.