Here is the full list of all 46 Infinite Incantation achievements.
Press 'Play' for the first time
Survive Goblin Gobi for 15 minutes
Kill the Goblin Officer in Goblin Gobi
Kill the Goblin Officer in Goblin Gobi without using a Flask
Kill the Big Ape in Goblin Gobi
Kill the Big Ape in Goblin Gobi without using a Flask
Kill the Goblin Chief in Goblin Gobi
Kill the Goblin Chief in Goblin Gobi without using a Flask
Kill Captain Orangutan in Goblin Gobi
Kill Captain Orangutan in Goblin Gobi without using a Flask
Survive Haunted Hovel for 15 minutes
Kill the Giant's Skeleton in Haunted Hovel
Kill the Giant's Skeleton in Haunted Hovel without using a Flask
Kill the All-Seeing Eye in Haunted Hovel
Kill the All-Seeing Eye in Haunted Hovel without using a Flask
Kill the Skeleton Sultan in Haunted Hovel
Kill the Skeleton Sultan in Haunted Hovel without using a Flask
Kill the Demon King in Haunted Hovel
Kill the Demon King in Haunted Hovel without using a Flask
Survive Vagrant's Volcano for 15 minutes
Kill the Underworld Ape Duo in Vagrant's Volcano
Kill the Underworld Ape Duo in Vagrant's Volcano without using a flask
Kill the Thief Mob in Vagrant's Volcano
Kill the Thief Mob in Vagrant's Volcano without using a Flask
Kill the Necromanced Spirit in Vagrant's Volcano
Kill the Necromanced Spirit in Vagrant's Volcano without using a flask
Beat Stryx in Vagrant's Volcano
Beat Stryx in Vagrant's Volcano without using a Flask
Do 400000 total damage in a run
Slow enemies for a total of 6000 seconds in a run
Get a total of 100000 push force in a run
Stun enemies for a total of 5000 seconds in a run
Leech 1500 total health in a run
Survive Borzoi Blizzard for 15 minutes
Kill the Worker Drone in Borzoi Blizzard
Kill the Worker Drone in Borzoi Blizzard at max Flasks
Kill the Wolf Hound in Borzoi Blizzard
Kill the Wolf Hound in Borzoi Blizzard at max Flasks
Kill the Ant Colony in Borzoi Blizzard
Kill the Ant Colony in Borzoi Blizzard at max Flasks
Kill the Feather Star in Borzoi Blizzard
Kill the Feather Star in Borzoi Blizzard at max Flasks
Survive Goblin Gobi with at least 125% money multiplier
Survive Haunted Hovel with at least 125% money multiplier
Survive Borzoi Blizzard with at least 125% money multiplier
Survive Vagrant's Volcano with at least 125% money multiplier