Career invitational events...
	Easy "A Day In The Life" troph...
	Easy "Eastbound & Down" trophy...
	Easy "Hall Of Fame" trophy...
	Various Trophies...

In career mode one can unlock additional events called invitational events by fulfilling certain requirements.

Event	How to unlock
Ardennes Kart Masters Cup	Win The LMP3 UK Semi Pro Cup.
Atom Blaster Supercup	Win The Formula C British Series.
Atom Blaster Trophy	Win The GT3 RGT-8 Supercup.
Audi Ruapuna Track Challenge	Complete 22 career podium finishes.
Azure 3-Point Trophy	Win The LMP3 US Semi Pro Cup.
Benz A45 Club Trophy	Win The LMP2 Pan-Euro Trophy.
BMW 1M Eifelwald Sprint Club	Complete 15 Career Races.
BMW 320TC Touring Challenge	Complete 28 career podium finishes.
Boa Ascent Challenge	Win the LMP3 US Rookie Cup.
California 3-Point Trophy	Complete 250 Career Laps.
Caterham Academy	Win The Superkart UK Nationals.
Caterham League 500	Win The Formula C US Series.
Coyote Noose Showdown	Win the Formula C US Series.
Dubai Kart Masters Cup	Complete 5 Career Races.
German Supercar Challenge	Win The Starlight Glen 6 HR GT Endurance.
Glencairn Kart Club Trophy	Complete 50 Career Laps.
Historic C1 Euro Cup	Complete 12 Career Races.
Historic GT4 M1 ProCar Challenge	Complete 125 Career Laps.
Historic GT5 320 Turbo Pan-Euro Cup	Complete 150 Career Laps.
Historic GT5 Capri US Torque Riders Cup	Win The LMP2 American Trophy.
Historic GT5 UK Trophy	Complete 35 Career Races.
Historic GTC-TC Euro Classic Cup	Win The American Endurance Championship.
Historic GTC-TC Nations Trophy	Win The GT3 Asia-Pacific Trophy.
Historic TC2 Escort Classic Trophy	Win The Formula Rookie Euro Trophy.
Historic TC2 Euro Classic 300	Win The LMP3 UK Rookie Cup.
Historic TC2 UK Trophy	Set 5 Best Career Qualifying Times.
Historic TGA E30 Drivers Classic	Win The Tri-Nations 1000 LMP Endurance.
Historic TGA Euro Trophy	Complete 10 Career Races.
Historic TGA Evo 2 Drivers Classic	Win The Formula Rookie UK Challenge.
Historic TGA RS500 Drivers Classic	Win The Formula C Asia-Pacific Series.
Lakeville Focus Challenge	Earn 15 Career Podium Finishes.
Lancer Club Sakitto West Showdown	Win The LMP3 US Rookie Cup.
LeMans 24H Endurance	Earn 30 Career Podium Finishes.
Lotus Vintage Formula Challenge	Win the Formula C British Series.
Lotus Vintage GT Challenge	Win the GT3 Asia-Pacific Trophy.
McLaren Brands Hatch Club Day	Win The LMP1 American Masters.
McLaren F1 Track Masters 3 HR Trophy	Complete 175 Career Laps.
Mojave Trifauna Trophy	Win the GT4 US Trophy.
Mono Redliners Trophy	Win The GT3 UK Trophy.
Pagani Monza Club Day	Complete 30 Career Races.
Road Entry Club UK Cup	Complete 100 Career Laps.
Road TC Euro Championship	Complete 20 Career Races.
Road TC1 UK Cup	Complete 200 Career Laps.
Road TC2 US Cup	Win The GT4 US Trophy.
Road TD Brands Showdown	Earn 10 Career Podium Finishes.
Road TD British Track Challenge	Earn 5 Career Podium Finishes.
Road TD German Track Challenge	Win The Nordschleife 12 HR LMP Endurance.
Ruapuna LMP900 Showdown	Complete 24 career podium finishes.
RUF CTR3-GT Velocity 1H	Win 2 Team Championships.
Supercar Ardennes Club Day	Win The GT3 RGT-8 German Cup.
Supercar Azure PointMan Trophy	Win The European Endurance Championship.
Supercar California PointMan Trophy	Win The GT4 Asia-Pacific Trophy.
Supercar FreeFall 24 HR Panorama	Win 4 Team Championships.
Supercar US Clubsport Trophy	Complete 42 Career Races.
TrackDay 25 HR Green Hell Madness	Complete 1000 Career Laps.
TrackDay 25 HR Panorama Madness	Complete 500 Career Laps.
Vintage F1 Lotus Class Of 67 Historic Cup	Win The LMP1 Pan-Euro Masters.
Vintage F1 Lotus Class Of 74 Vintage Cup	Win The Tri-Nations 1000 GT Endurance.
Vintage F1 Lotus Class Of 77 Classic Cup	Win The GT4 UK Trophy.
Vintage F1 Lotus Class Of 86 Masters Cup	Set 10 Best Career Qualifying Times.
Vintage GT GT40 Challenge	Complete 17 Career Races.
Vintage GT TransAm Cobra Cup	Win The Nordschleife 12 HR GT Endurance.
Vintage Stock Caper Special Trophy	Win The GT3 US Trophy.
WMD Euro Trackday Trophy	Complete 25 Career Races.
WMD UK Trackday Trophy	Win The Formula Rookie US Challenge.
WMD US Trackday Trophy	Win The Formula Rookie German Challenge.
Zonda R Championship	Win The Rising Sun 6 HR LMP Endurance.

You must finish a full 24 hour race. This can be done on the Le Mans 24H invitational event that appears at the end of every season after 50 podium finishes in your career. You do not have to win the race and can allow the CPU to drive for you by selecting "Swap Driver" at a pit stop. To do this easily, begin a solo quick race with the following settings: time progression set to "real time", one lap, one opponent, no damage, no mechanical failures, no fuel usage, no tire wear, and no flags and penalties. You can select any car and track. When the race begins, park your car off the track where it cannot move. Allow the game to idle then cross the finish line when the timer has exceeded 1,440 minutes. Note: You can pause game play (this will also stop the timer), but cannot quit the race. With the PC version, the game will auto-pause if the game's window loses focus or computer enters sleep mode.

Consider the GT4 Ford Mustang Boss 302R because of its downforce and power. Note: The Ford Zakspeed Capri does not count as a U.S. car because it was built by the German Zakspeed team. Choose a single-race with no opponents. "Eastbound & Down" will be earned even if the lap time was invalidated due to a collision with the track limits.

Although you do not need all invitations, you actually have to finish four of the five historic goals. These are done while earning "Zero to Hero", "Defending Champ", "Triple Crown", and "Fully Loaded".

Complete the following tasks to unlock PlayStation 4 trophy rewards.

Trophy	How to unlock
A Day In The Life (Silver)	Completed a 24 hour race using only realtime progression (and why not stream it?!).
Clean As A Whistle (Bronze)	Won three Online Public races in a row without being involved in a major collision.
Community Ambassador (Bronze)	Participated in 20 Driver Network Community Events.
Conquered. All. Races. Seriously. (Silver)	Won every race in a Career Championship.
Consistency Is King (Silver)	Performed three consecutive laps within 0.1 sec of each other.
Credit Where Credit's Due (Bronze)	Crashed into the AI counterpart of an SMS employee.
Defending Champ (Gold)	Defended a Career Championship for three consecutive years.
Do You Smell Somethin'? (Bronze)	Made your brakes reach a temperature of 1000° C.
Double Rainbow (Bronze)	Won the same Career Championship two years consecutively.
Eastbound & Down (Bronze)	Ran the California Highway in under 9 mins in a US car.
Emergency Stop (Bronze)	Braked to a standstill from 100-0 km/h within 2 secs.
Exorcist (Bronze)	Beat a Ghost from the Time Trial Leaderboards.
Fully Loaded (Bronze)	Signed 8 Endorsement deals.
Gladiator (Bronze)	Won a Quick Race Weekend with Full Damage, Mechanical Failures, and Tire Wear (must be 5+ laps).
Grand Chelem (Bronze)	Got pole position in qualifying, fastest lap in the race and won whilst leading every lap.
Half Racer, Half Demon (Bronze)	Drove faster than 333 km/h for over 6.66 consecutive secs.
Hall Of Fame (Gold)	Completed three Historic Goals and became a racing legend!.
Home Field Advantage (Bronze)	Won more than 20 events at your Favorite Location.
I Am The 5% (Silver)	Won an Online Public race using Pro handling, manual gears, and no driving aids, from cockpit view.
Keep Calm And Race On (Bronze)	Crashed on or before the first corner then went on to win the race.
Lap Time Wizard (Silver)	Set a time at 50 locations (variations and reverse layouts not necessary).
Mailbox Full (Bronze)	Received more than 500 messages from your fans.
Meticulous (Bronze)	Completed every Practice, Qualifying, and Race session in every round in a Career Championship.
My Little Friend (Bronze)	Overtook a car using Formula A KERS.
No "I" In Team (Bronze)	Won a Team Championship two years consecutively.
No Roads Needed (Bronze)	Got all four wheels in the air for more than 0.88 secs.
On Your Left (Bronze)	Lapped an opponent in a race.
One More For The Road (Platinum)	Earned all other Trophies.
Pentapodia (Silver)	Finished on the podium more than 50 times in an Online Public race.
Petrolicious Love (Bronze)	Won more than 50 events with your Signature Car.
Pit Boss (Bronze)	Created and saved a Pit Strategy.
Player 1 Versus The World (Bronze)	Entered and completed more than 25 Online races.
Pristine Paintwork (Bronze)	Completed more than 3 Online races with 50% of them avoiding a major collision.
Ready To Pounce (Bronze)	Had a reaction time of less than 0.2 secs off the starting grid.
Requesting Flyby (Bronze)	Entered and exited the pit lane without losing a position (cannot be in last place).
Reversa Corsa (Bronze)	Completed a Quick Race Weekend lap of Azure Circuit in reverse from cockpit view without collisions.
Selfie (Bronze)	Took a photo of your Signature Car at your Favorite Location.
Speed Racer (Bronze)	Set a Pole Position time in an Online Public qualifying session.
Sunday Driver (Bronze)	Driven the speed limit (50 km/h) in an Italian car and appreciated the Azure coastal scenery.
Taylor Would Be Proud (Bronze)	Won 22 Accolades.
To Affinity & Beyond (Bronze)	Have an Affinity greater than 50% in all car classes.
Triple Crown (Gold)	Won three Career Championships in three different motorsport disciplines.
Twerkin' (Bronze)	Won your first Accolade.
VIP (Bronze)	Received 12 Invitations.
Zero To Hero (Gold)	Won the LMP1 World Championship within ten seasons.