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 Battersea Compound Missions
Complete all Joyride Missions in both locations
Collect all 100 Hidden Packages in Joyride
Complete 50% of the Battersea Compound Missions
Achieve all hit types in Rampage
Win an Online team event
Hold the loot for 2 minutes in Smash & Grab
Win a Speed Skirmish event
Drop the Flag off 5 times in a round of Transporter
Be in 1st place during each elimination period in an Eliminator event
Complete 100% of the Yokohama Compound Missions
Complete 50% of the Yokohama Compound Missions
Complete a Splitscreen event
Earn a total of $1,000,000
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
Complete the Donut King Mission in the Yokohama Construction Site area
Wreck 20 vehicles in the Lafayette Eulogy
Own 15 vehicles
Be in last place and then earn a podium during double points in a Rampage event in the Showdown Tour
Achieve a podium in the Champion final
Dominate all sectors during the final lap in a round of a Domination event
Complete a Showdown Tour event in each location
Win a Race-Off event without boosting
Achieve a podium in the AllStar final
View a Crashback replay
Accept and beat a friend's Challenge
Send a Challenge to a friend
Score 300,000 points in a Trick Rush event in the Showdown Tour
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
Fully upgrade a vehicle
Achieve a podium in the Pro final
Pull off an Insane T-Bone in Rampage
Complete a clean run in a Head 2 Head event
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
Complete your first Showdown Tour event
Own every vehicle in the game
Reach Fanbase Level 30 Online
Reach Fanbase Level 10 Online
Dominate a friend in Challenge mode
Fully upgrade all vehicles
Reach Fanbase Level 20 Online