Here is the full list of all 66 Searching For Rest achievements.
Reach the Power cap for the first time
Flip lantern-like graves using other lantern-like graves
Reach the Altar in the Catacombs for the first time
Get Gift of Zeus
Get God Upgrades
Break each Starter Blessing
Trigger Unearthed Spectacles
Die on your search
Reach the Altar in the Catacombs with Werewolf's Curse
Reach the Altar in the Catacombs with Noble's Curse
Reach the Altar in the Catacombs with Demon's Curse
Reach the Altar in the Catacombs with Knight's Curse
Break each Curse
Fulfill each part of the prophecy
Get Lunar Mending as your first Upgrade and get 10 boots in the same run
Get 10 boots without using each of your Power Upgrades' ability
Find your resting place
Break a Curse
Ignore the Altar with a broken Curse
100% The Necropolis
Discover a secret code
Get a high score of 20 for each Curse in Stress Testing
Dig 5 monsters in one Graveyard
Kill Ghosts
Trigger your Starter Blessing
Get healed while full hp
Descend into the Catacombs for the first time
Kill Vampires
Get Lunar Mending
Get Calcified Remnants
Obtain Bones while using Bone Reader's Tomb
Deal Damage
Survive Combat Phases with just 1 hp remaining
Find your resting place for the first time
Add a 'Bones' grave to your graveyard
Add a 'Sword' grave to your graveyard
Add a 'Boots' grave to your graveyard
Get 3 God Upgrades and reach the Altar in the Catacombs
Replace 5 'Dirt' graves with better ones in a single run
Reveal 15 graves in a single Graveyard
Feel the sun on your bones
Overkill monsters
Obtain Bones using Thief's Severed Hand
Lose a run with 9 Movement
Flip Lanterns
Get Solar Sight
Get Tyrant's Soul
Get Bone Reader's Tomb
Get The Necronomicon
Get Eternal Flame
Get Heaven's Spade
Get Sanctified Tombs
Get Cursed Blade
Get Divine Knowledge
Get Titanic Might
Get Perpetual Gaze
Obtain Dirt
Kill the Death Boss
Kill the Gorgon Boss