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