Here is the full list of all 50 Blur achievements worth 1,000 gamerscore. It takes around 40-50 hours to unlock all of the achievements on Xbox 360.
Master Checkpoint events
Master Destruction events
Earn all Primary Lights in M.Haruna Checkpoint without damaging your car
Hit set speeds in class A, B, C and D cars
Explore Blur's locations
Show that you can bring the fight to One-on-Ones
Master the Shield Power-up
Win a race in multiple playlists
Win a race in 4 player Split Screen
Master the Repair Power-up
Master the Shock Power-up
Beat Drayke in his One-on-One
Beat Shannon again in her One-on-One
Master Race events
Master the Nitro Power-up
Master Fan Demands
Unlock Legend Mode
Master the Shunt Power-up
Beat Natalya in her One-on-One
Beat Carver in his One-on-One
Master the Bolt Power-up
Beat the twins in their One-on-One
Beat Talon in his One-on-One
Prove yourself by completing Rival Demands in career
Master the Barge Power-up
Beat Rhymer in his One-on-One
Master the Mine Power-up
Stand out from the crowd with car resprays
Beat Khan in his One-on-One
Have a complete experience of Friend Challenges
Beat a Rank 50 player
Race at each location in the game
Win a race using a custom mod setup
Earn the Motor Mash sticker
Choose any Friend as a Rival from the Single Player Leaderboards
Beat Shannon in her One-on-One
Wreck your first Rival in a One-on-One
Unlock Shannon's One-on-One
Earn your first Fan Target
Complete your first Fan Run
Share your first Blur experience on Facebook, Twitter or Xbox LIVE
Finish a race 0.1 seconds or less ahead of another player online
Become an Award-winning racer
Evade or destroy your first incoming Power-up
Wreck your first car
Wreck a Blur developer on Xbox LIVE, or anyone with this Achievement
Master Fan Runs
Complete everything in the singleplayer game
Earn every Primary Light on Hard difficulty
Master the Blur Challenges