Here is the full list of all 41 Tony Hawk's Pro Skater 5 achievements worth 1,000 gamerscore.
Grinded for 200,000 total meters across all games
Performed 25,000 total Tricks across all games
Reached Player Level 20
Unlocked Asteroid Belt
Achieved a Combo Multiplier of 25 in any mode
Bailed 750 number of times
Achieved a score of 50,000,000 across all games
Unlocked The Bunker
Landed a 250,000 Point Combo in any mode
Unlocked Rooftops
Performed 500 Special Tricks
Acquired 10 new Decks
Unlocked Mega Park
Purchased an item in Customize Skater
Unlocked School III
Reached Player Level 10
Unlocked Bonfire Beach
Earned a Stat Point by completing a mission at Pro Level
Completed all Free Skate Objectives in any Level
Complete all Skate Tutorial Missions
Reach Player Level 30
Acquire $25,000 total Cash across all Careers
Achieve a Sick Score on all Missions in The Berrics
Achieve a Sick Score on all Missions in Bonfire Beach
Achieve a Sick Score on all Missions in School III
Achieve a Sick Score on all Missions in Mega Park
Achieve a Sick Score on all Missions in Rooftops
Achieve a Sick Score on all Missions in The Bunker
Achieve a Sick Score on all Missions in Asteroid Belt
Complete all Gaps in any Level
Manual for 100,000 total meters across all games
Complete your first PRO Mission on any level
Complete all PRO Missions in any Level
Earn 100 total Stat Points
Earn 250 total Stat Points
Acquire 10 new Heads
Acquire 10 new Bodies
Upload a Create-a-Park level
Rate a Create-a-Park level made by another player
Rate 10 total Create-a-Park levels made by other players
Rate 25 total Create-a-Park levels made by other players