Here is the full list of all 42 Need for Speed Heat achievements. It takes around 40-50 hours to unlock all of the achievements on Windows.
Complete Chapter 1
Reach max Crew Level with your Crew
Take down 100 Cop Vehicles
Go from last to first place during the final lap of a race and win
Win the Discovery Event
Hit 240 mph using any car
Win a race with all vehicle effects slots equipped
Smash your way through all the Billboards
Get all Collectibles and 3 stars on all Activities
Collect all the Flamingos
Collect all Street Art
Get a 3 Star Rating on all the Activities in the game
Complete all Drift Zones
Complete all Speed Traps
Complete all Long Jumps
Earn and bank 1 000 000 REP during one night
Complete the Off-road driving story
Complete the Drift driving story
Win a race with handling parts for maximum drift equipped
Win a race with a car at 399 Performance Rating
Win a High Heat 5 race and return to garage safely
Escape 100 Cop Chases
Reach REP Level 50
Complete Chapter 4
Complete the Race driving story
Complete 25 events online with other players
Win a race with handling parts for maximum race equipped
Win a race with handling parts for maximum road traction equipped
Win a race with handling parts for maximum off-road traction equipped
Complete Chapter 3
Win a race in a vehicle with an engine swap
Complete Chapter 2
Win a race with parts equipped in both auxiliary part slots
Change the text on the License Plate
Customize a vehicle with a wrap
Beat your first Crew Time Trial
Win a race in a vehicle with tuned exhaust sound
Complete 5 events online with other players
Repair critical damage at a Gas Station at night
Complete your first Daily Challenge
Reach REP Level 2
Pick your first ride