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