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