Here is the full list of all 41 Need for Speed Unbound achievements.
Smash all bear collectibles
Escape a Heat 5 cop chase
Complete Qualifier 1
Complete Qualifier 2
Complete Qualifier 3
Complete the Grand
Complete the prologue
Break all billboard collectibles
Collect all street art collectibles
Get 3 stars on all Speed Run activities
Get 3 stars on all Long Jump activities
Get 3 stars on all Drift Zone activities
Get 3 stars on all Speed Trap activities
Collect all collectibles and get 3 stars on all activities
Bank $75,000 during one session
Earn $1,000,000 in story mode
Score 250,000 during a Takeover event
Score 200,000 during a Takeover event
Complete 30 street races in story mode
Complete 10 Takeover events
Fully upgrade your story garage
Escape a Heat 5 cop chase in an A+ car
Take down 5 cops within a single session
Escape 50 cop chases
Fully upgrade your Lakeshore Online garage
Complete a Lakeshore Online playlist with 7 other players
Win a Tier B Lakeshore Online playlist
Win a Tier A Lakeshore Online playlist
Win a Tier A+ Lakeshore Online playlist
Win a Tier S Lakeshore Online playlist
Win a Tier S+ Lakeshore Online playlist
Complete 25 Lakeshore Online playlists
Own 10 vehicles in your story mode garage
Own 10 vehicles in your Lakeshore Online garage
Reach 200MPH in story mode
Drive a total of 100 miles in story mode
Use max Burst Nitrous 5 times during Lakeshore Online events
Use max Burst Nitrous 5 times during story mode events
Apply a custom wrap to your ride
Customize your Driving Effects
Customize your clothing