Here is the full list of all 37 Hunt: Showdown achievements. It takes around 200 hours to unlock all of the achievements on Windows.
Burn 50 chicken coops
Retire 25 Hunters
Kill an enemy Hunter with a sledgehammer throw
Close 250 rifts in Quickplay matches
Kill 100 enemy Hunters with headshots
Visit every Stillwater Bayou location in one mission
Break 50 doors
Visit every Lawson Delta location in one mission
Be on fire, poisoned, and bleeding at the same time
Have 5 level 50 Hunters at the same time
Kill 50 contract targets solo
Unlock 25 entries in the Book of Monsters
Recruit 100 Hunters
Complete 100 Bounty Hunt contracts
Kill 150 Grunts with the dusters
Investigate 250 clues
Unlock Bloodline rank 100
Absorb at least 250 energy from the Wellspring in a Quickplay match
Complete a weekly challenge
Get a Hunter to level 50
Have 15 traits on a Hunter at the same time
Kill any contract target with a melee attack
Kill 150 monsters with headshots
Unlock Bloodline Tier 3
Unlock 50 entries in the Book of Weapons
Play the gramophone and the piano in one mission
Kill an Immolator without making them explode
Unlock Bloodline Tier 2
Be the first to activate the Wellspring in a Quickplay match
Hide in a toilet
Locate a contract target without investigating a clue
Complete Trainee Mode
Complete your first Bounty Hunt contract
Survive a Quickplay match
Be the last Hunter standing in a Quickplay match
Complete a daily challenge
Kill your first enemy Hunter