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