Here is the full list of all 51 Fast & Furious: Showdown trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Unlocked all other trophies.
Completed Chapter 1 (Solo or Co-op).
Completed Chapter 2 (Solo or Co-op).
Completed Chapter 3 (Solo or Co-op).
Completed Chapter 4 (Solo or Co-op).
Completed Chapter 5 (Solo or Co-op).
Completed Chapter 6 (Solo or Co-op).
Completed Chapter 7 (Solo or Co-op).
Completed Chapter 8 (Solo or Co-op).
Completed Chapter 9 (Solo or Co-op).
Completed Chapter 10 (Solo or Co-op).
Completed every mission in Solo Mode.
Completed every mission in Co-op Mode.
Completed the Rio Heist Mission in under 200 seconds.
Took out the convoy in under 210 seconds in the Mexico Convoy Sabotage Mission.
Didn't let the chopper call for re-inforcements in the LA Cop Pursuit mission.
Didn't allow a single bomb to go off in the LA Tanker Heist mission.
Didn't let the towed car take a single bit of collision damage in the Buenos Aires Transport mission.
Completed the Rio Pursuit mission in under 165 seconds.
Used the mines at the end of the tunnel to wreck the gang cars in the Germany Escape mission.
Delivered all cargos in under 110 seconds in the Hong Kong Courier mission.
Took out 5 enemies with exploding barrels in the Siberia Assault mission.
Flipped a car twice without letting it touch the ground in the Moscow Flip Car Battle mission.
Won Gold on all Playlist 1 Challenges in Solo Mode.
Won Gold on all Playlist 2 Challenges in Solo Mode.
Won Gold on all Playlist 3 Challenges in Solo Mode.
Won Gold on all Playlist 4 Challenges in Solo Mode.
Won Gold on all Playlist 5 Challenges in Solo Mode.
Won Gold on all Playlist 6 Challenges in Solo Mode.
Won Gold on all Playlist 7 Challenges in Solo Mode.
Won Gold on all challenges in Solo Mode.
Won Gold on all Playlist 1 Challenges in Co-op Mode.
Won Gold on all Playlist 2 Challenges in Co-op Mode.
Won Gold on all Playlist 3 Challenges in Co-op Mode.
Won Gold on all Playlist 4 Challenges in Co-op Mode.
Won Gold on all Playlist 5 Challenges in Co-op Mode.
Won Gold on all Playlist 6 Challenges in Co-op Mode.
Won Gold on all Playlist 7 Challenges in Co-op Mode.
Won Gold on all challenges in Co-op Mode.
Completed a driver-enabled mission/challenge without hitting an obstacle or vehicle.
Used every available vehicle at least once to complete any mission/challenge.
Drifted 500m in a single maneuver.
Drove 500 Miles.
Tried out every mod at least once.
Took a customized vehicle out for a spin.
Expended 100 N20 Tanks.
Completed a gunman mission with 100% accuracy playing as the gunman only.
Killed an enemy using every type of weapon.
Wrecked 500 vehicles by any means.
Completed any mission with out-of-car sections without falling onto the ground.
Reached Driver Level 50.