Here is the full list of all 56 Burnout Paradise Remastered achievements.
Win all Burning Routes
Win your Burnout Elite License
Get your Elite License, win every event, find all discoverables and beat every Road Rule
Win 25 Burning Routes
Make 50 online Rivals
Win 10 online Races
Complete 250 online Challenges (Timed & Bike challenges do not count)
Complete 20 online Events
Complete 2 whole sections of online Challenges (Timed & Bike challenges are not required to be finished)
Get 500 Takedowns (either online or offline)
Get a x20 Boost Chain
Score over 1,000,000 in Stunt Run
Perform a 360 Flatspin in any car
Complete 25 online Challenges (Timed & Bike challenges do not count)
Complete a party game of 8 rounds with 8 players
Complete a Party game where every player scores in every round
Win your Burnout Driving License
Power Park with a 100% rating
Get your A Class License
Set a Showtime Road Rule on every road
Awarded for being on the winning Cops team in a Cops and Robbers game
Awarded for being on the winning Robbers team in a Cops and Robbers game
Awarded for delivering the Gold to your team base in a Cops and Robbers game
Win your first 8 player online race
Complete an online race
Make your first online Rival
In an 8 player online Freeburn lead 6 of the Today's Best Scores (6/11 for Cars) (6/6 for Bikes)
Awarded when you complete all 10 Island Freeburn Challenges (2 - 8 players)
Complete 1 online Challenge (Timed & Bike challenges do not count)
Get a x10 multiplier in Showtime
Set a Showtime Road Rule on East Crawford Drive
Successfully land all Superjumps
Collect all Billboards
Set a Time Road Rule on every road
Collect all Smashes
Get your B Class License
Repair your car at critical damage in a Road Rage event
Find all Carparks
Find all Drive Thrus and Car Parks
Find all Events
Get a Takedown Rampage
Set a Time Road Rule on Watt St
Land the Mega Jump from the Crash TV Ski Jump with at least 4.5 seconds of Air Time
Land a 2 barrel roll jump
Collect 15 Island Billboards
Collect 20 Island Smashes
Find all 15 Island events
Get your C Class License
Win a Race
Win a Marked Man without being taken down
Get 10 Takedowns in Road Rage without Wrecking
Get your D class license
Successfully land 5 Superjumps
Collect 25 Smashes
Collect 5 Billboards
Repair your first wrecked car