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