Successfully complete the indicated task to unlock the corresponding minion:

Character's minion: Reach Rank 10 with any character to unlock his or her minion.
Chimera from Resistance: Reach Rank 80 with eight characters.
Curtis the Panda from Carnival Island: Reach Rank 80 with two characters.
Dr. Nefarious from Ratchet And Clank: Reach Rank 80 with three characters.
Tag from ModNation Racers: Reach Rank 80 with five characters.

Reach Rank 10 with any character to unlock his or her alternate costume.

The following belts are listed from worse to best: White, Yellow, Blue, Green, Purple, Red, Brown, Black.

Successfully complete one of the following tasks to get a trophy:

All-Star Legend - You've Only Done Everything (Platinum): You have successfully earned all other trophies in the game. Congratulations!
Trial Combatant (Bronze): Complete a Combat Trial.
The Legend (Bronze): Complete Arcade Mode on Legend.
Fundamentals (Bronze): Complete the Basic Tutorial.
Character Mastery (Bronze): Complete a Combo Tutorial.
Showing Off (Bronze): Show off your Minion during a game.
Triple Kill! (Silver): Earn a Triple Kill in a match-made online game.
Team Sweeper (Silver): Earn a Double Kill in a 2v2 match-made online game.
We have Overtime! - Working Weekends? (Bronze): Enter Overtime!
3x OVERTIME!! (Silver): Enter 3x AP Overtime!
Champion (Silver): Win a Versus Match against a team of three AI opponents.
Combo King (Bronze): Land a 50+ AP Combo in Practice Mode.
Combo Virtuoso (Silver): Land a 70+ AP Combo in Practice Mode.
Ultimate Power (Bronze): Perform a Level 3 Super Attack.
Two for One (Silver): Earn a Double Kill with a Level 1 Super Attack.
Three for One (Gold): Earn a Triple Kill with a Level 1 Super Attack.
Friendly Competition (Bronze): Complete a Versus Match against an online player.
Tournament Fighter (Bronze): Complete an online Ranked Match.
First Blood (Bronze): Earn a Kill in a match-made online game.
Victorious! (Silver): Win a match-made online game.
The God of War (Bronze): Complete Arcade Mode with Kratos.
I Gotta Believe! (Bronze): Complete Arcade Mode with PaRappa.
Cake, please! (Bronze): Complete Arcade Mode with Fat Princess.
Oh Boys and Girls (Bronze): Complete Arcade Mode with Sweet Tooth.
Helghast Commander (Bronze): Complete Arcade Mode with Radec.
Thievius Raccoonus (Bronze): Complete Arcade Mode with Sly Cooper.
Treasure Hunter (Bronze): Complete Arcade Mode with Nathan Drake.
Greatest Conduit (Bronze): Complete Arcade Mode with Cole.
Friend of the People (Bronze): Complete Arcade Mode with Toro.
Monkey Catcher (Bronze): Complete Arcade Mode with Spike.
Intergalactic Heroes (Bronze): Complete Arcade Mode with Ratchet.
Eco Master (Bronze): Complete Arcade Mode with Jak.
Let's Make a Scene (Bronze): Complete Arcade Mode with Sackboy.
Revengeance (Bronze): Complete Arcade Mode with Raiden.
The Iron Fist (Bronze): Complete Arcade Mode with Heihachi.
Mr. Bubbles (Bronze): Complete Arcade Mode with Big Daddy.
Demon Hunter (Bronze): Complete Arcade Mode with Dante.
Demon of Empire City (Bronze): Complete Arcade Mode with Evil Cole.
Heavenly Warrior (Bronze): Complete Arcade Mode with Nariko.
Hero of Gallowmere (Bronze): Complete Arcade Mode with Sir Daniel.
This is Living (Silver): Win a match-made online game without dying.
I Chose The Impossible (Bronze): Perform a Level 3 Super with Big Daddy on 'Columbia'.
Master of the Ray Sphere (Bronze): Perform a Level 3 Super with Cole or Evil Cole on 'Alden's Tower'.
Interpol HQ Break-In (Bronze): Perform a Level 3 Super with Sly Cooper on 'Paris'.
Kerwan's Capital City (Bronze): Perform a Level 3 Super with Ratchet on 'Metropolis'.
Ally of Larry Da Vinci (Bronze): Perform a Level 3 Super with Sackboy on 'Dreamscape'.
Calypso's Wishes (Bronze): Perform a Level 3 Super with Sweet Tooth on 'Black Rock Stadium'.
The Doctor Is In... (Bronze): Perform a Level 3 Super with Ratchet on 'San Francisco'.
Student Becomes the Master (Bronze): Perform a Level 3 Super with PaRappa on 'Dojo'.
REX versus RAY (Bronze): Perform a Level 3 Super with Raiden on 'Franzea'.
The Peak Point Helmet Blues (Bronze): Perform a Level 3 Super with Spike on 'Time Station'.
Samos' Sacred Site (Bronze): Perform a Level 3 Super with Jak on 'Sandover Village'.
Sic Parvis Magna (Bronze): Perform a Level 3 Super with Nathan Drake on 'Stowaways'.
Autarch of Helghan (Bronze): Perform a Level 3 Super with Radec on 'Invasion'.
Palace of the Underworld (Bronze): Perform a Level 3 Super with Kratos on 'Hades'.