Here is the full list of all 48 Kamen Rider: Climax Fighters trophies - there are 39 bronze, 5 silver, 3 gold and 1 platinum.
All trophies obtained.
Used all Riders.
Played a 4 man battle royal in Free Battle.
Played Free Battle with a team.
Obtained all avatar items.
Cleared all missions.
Cleared last mission.
Cleared mission "Doctor Rider."
Cleared mission "Black Sun."
Cleared mission "Law of Victory."
Cleared mission "Hero's strength."
Cleared mission "Come join me for a spin!"
Cleared mission "Rider Sengoku Era."
Obtained 60 avatar items.
Cleared mission "Magician of the ring."
Cleared mission "Proof of friendship."
Obtained 45 avatar items.
Cleared mission "OOO's caliber."
Cleared mission "2-in-1 Detective."
Cleared mission "Destroyer of worlds."
Cleared mission "Let's go Kiva!"
Obtained 30 avatar items.
Cleared mission "I... have arrived!"
Cleared mission "Path of heaven."
Cleared 50 different mission.
Cleared mission "Sonic-strike warrior."
Battled in all stages.
Cleared mission "Fate's trump card."
Obtained 15 avatar items.
Cleared mission "Racing instinct."
Selected avatar's customize mode.
Cleared mission "Battle between Riders".
Cleared mission "The Golden Warrior."
Cleared mission "The man with 2000 skills."
Cleared 25 different mission.
Used 15 Riders.
Used 5 Riders.
Selected BGM Edit, made changes, and started a battle.
Selected BGM Gallery from Gallery.
Battled in 4 stages.
Entered a Online Player Match room.
Selected Options, made changes, and started a battle.
Saw all tips.
Saw 40 tips.
Saw 20 tips.
Played Rank Match.
First time a battle was started.
Saw a tip.