Here is the full list of all 45 Tony Hawk's Pro Skater 5 achievements worth 1,000 gamerscore.
Completed all Skate Tutorial Missions
Reached Player Level 50
Bailed 750 number of times
Unlocked 50 Emblems
Earned 250 total Stat Points
Grinded for 200,000 total meters across all games
Manualed for 100,000 total meters across all games
Performed 500 Special Tricks
Earned 100 total Stat Points
Achieved a Sick Score on all Missions in Asteroid Belt
Acquired 10 new Decks
Acquired the Master Emblem for any Level
Completed all PRO Missions in any level
Achieved a Sick Score on all Missions in The Bunker
Acquired $25,000 total Cash across all Careers
Achieved a Sick Score on all Missions in Rooftops
Performed 25,000 total Tricks across all games
Achieved a Sick Score on all Missions in Mega Park
Reached Player Level 25
Unlocked 25 Emblems
Unlocked Asteroid Belt
Acquired 10 new Bodies
Unlocked The Bunker
Unlocked Rooftops
Achieved a Sick Score on all Missions in School III
Unlocked Mega Park
Achieved a score of 50,000,000 across all games
Completed your first PRO Mission on any level
Achieved a Sick Score on all Missions in Bonfire Beach
Acquired 10 new Heads
Completed all Gaps in any Level
Unlocked 10 Emblems
Unlocked School III
Rated 25 total Create-a-Park levels made by other players
Rated 10 total Create-a-Park levels made by other players
Achieved a Sick Score on all Missions in The Berrics
Reached Player Level 10
Unlocked Bonfire Beach
Purchased an item in Customize Skater
Rated a Create-a-Park level made by another player
Uploaded a Create-a-Park level
Landed a 250,000 Point Combo in any mode
Achieved a Combo Multiplier of 25 in any mode
Completed all Freeskate Objectives in any Level
Earned a Stat Point by completing a mission at Pro Level