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