Here is the full list of all 34 Chocobo's Mystery Dungeon EVERY BUDDY! trophies - there are 16 bronze, 12 silver, 5 gold and 1 platinum.
Collected all trophies.
Befriended all monsters and characters.
Completed a dungeon with every type of monster as a buddy.
Collected one of every type of item.
Collected one pair of every type of talons.
Collected one of every type of saddle.
Defeated 10 monsters with a single attack by Chocobo.
Reached Floor 500 of the Insatiable Hunger dungeon.
Completed all dungeons.
Maxed out all jobs.
Completed a dungeon with every job.
Increased your gear's level to +99.
Acquired all jobs.
Collected one of every type of collar.
Defeated Omega.
Maxed out Chocobo's level.
Used every type of magicite.
Completed all Dungeons of Remembrance.
Fused an ALL brand.
Defeated Shinryu.
Reached Floor 100 of the Insatiable Hunger dungeon.
Completed a 20-floor dungeon without triggering a trap.
Completed Chapter V.
Raised Chocobo to Level 50.
Maxed out one job.
Completed Chapter IV.
Completed Chapter III.
Befriended 60 monsters or characters.
Befriended a boss monster.
Completed Chapter II.
Befriended 20 monsters or characters.
Defeated 6 monsters with a single attack by Chocobo.
Completed Chapter I.
Completed the tutorial.