Here is the full list of all 49 DiRT Showdown achievements. It takes around 80-100 hours to unlock all of the achievements on Windows.
Complete 100% of the Yokohama Compound Missions
Complete all Joyride Missions in both locations
Complete the Donut King Mission in the Yokohama Construction Site area
Complete 50% of the Yokohama Compound Missions
Complete 100% of the Battersea Compound Missions
Complete 50% of the Battersea Compound Missions
Complete the Showdown Tour with at least a Bronze in every event
Complete the Showdown Tour with at least a Silver in every event
Achieve a podium in the Legend final
Complete the Showdown Tour and win Gold in every event
Score 300,000 points in a Trick Rush event in the Showdown Tour
Own 15 vehicles
Achieve a podium in the Champion final
Complete a Showdown Tour event in each location
Accept and beat a friend's Challenge
Send a Challenge to a friend
Achieve a podium in the AllStar final
View a Crashback replay
Survive for at least 2 minutes in a Hard Target event
Use a full tank of boost in one go without crashing in a Race-Off event
Win a Smash Hunter event
Achieve a podium in the Pro final
Fully upgrade a vehicle
Complete a Race-Off, Rampage and Head 2 Head Event
Get the First Blood bonus in a Knock Out event
Achieve a 5x Wrecking Streak in Rampage
Wreck your first opponent in a Rampage event
Pull off an Insane T-Bone in Rampage
Complete your first Showdown Tour event
Complete a clean run in a Head 2 Head event
Complete a Splitscreen event
Be in 1st place during each elimination period in an Eliminator event
Dominate all sectors during the final lap in a round of a Domination event
Be in last place and then earn a podium during double points in a Rampage event in the Showdown Tour
Win a Race-Off event without boosting
Win an Online team event
Collect all 100 Hidden Packages in Joyride
Wreck 20 vehicles in the Lafayette Eulogy
Own every vehicle in the game
Achieve all hit types in Rampage
Hold the loot for 2 minutes in Smash & Grab
Earn a total of $1,000,000
Drop the Flag off 5 times in a round of Transporter
Reach Fanbase Level 30 Online
Reach Fanbase Level 10 Online
Win a Speed Skirmish event
Dominate a friend in Challenge mode
Fully upgrade all vehicles
Reach Fanbase Level 20 Online