Here is the full list of all 46 Tony Hawk's Pro Skater 5 trophies - there are 37 bronze, 4 silver, 4 gold and 1 platinum.
Unlock all other trophies
Reach Player Level 50
Bail 750 number of times
Acquire 50 Emblems
Earn 250 total Stat Points
Grind for 200,000 total meters across all games
Earn 100 total Stat Points
Acquire 10 new Heads
Achieve a Sick Score on all Missions in Asteroid Belt
Manual for 100,000 total meters across all games
Acquire $25,000 total Cash across all Careers
Achieve a Sick Score on all Missions in The Bunker
Perform 25,000 total Tricks across all games
Achieve a Sick Score on all Missions in Rooftops
Acquire 25 Emblems
Reach Player Level 25
Perform 500 Special Tricks
Achieve a Sick Score on all Missions in Mega Park
Unlock Asteroid Belt
Achieve a Sick Score on all Missions in School III
Acquire 10 new Decks
Complete all PRO Missions in any Level
Acquire the Master Emblem for any level
Achieve a score of 50,000,000 across all games
Complete 1 PRO Mission on any level
Unlock The Bunker
Rate 25 total Create-a-Park levels made by other players
Acquire 10 new Bodies
Purchase an item in Customize Skater
Unlock Rooftops
Achieve a Sick Score on all Missions in Bonfire Beach
Acquire 10 Emblems
Unlock Mega Park
Land a 250,000 Point Combo in any mode
Achieve a Combo Multiplier of 25 in any mode
Unlock School III
Achieve a Sick Score on all Missions in The Berrics
Reach Player Level 10
Complete all Gaps in any Level
Complete all Freeskate Objectives in any Level
Unlock Bonfire Beach
Earn a Stat Point by completing a mission at Pro Level
Rate 10 total Create-a-Park levels made by other players
Rate a Create-a-Park level made by another player
Upload a Create-a-Park level
Complete all Skate Tutorial Missions