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