Here is the full list of all 116 Tap Adventure: Time Travel achievements.
Chronosphere bought
Create 10 Time Loops
Build at least 1 organelle of each type
Upgrade Magic to lvl 500
Reach 500th stage
Kill 3000 bosses
Open 250 chests
Collect 1 000 runestones
Collect Random Gift from Mimic chest
Open 100 boosted chests
Open 100 chests
Enchant 10 Mimics
Kill 1000 bosses
Complete 100 Quests
Collect Fayball from Mimic chest
Collect Hero Ring from Mimic chest
Hire 7 heroes
Spend 999 manacoins
Boost chest
Collect all Hero Rings
Hire 6 heroes
Hurry up imp-workers 100 times
Craft 15 artifacts
Collect 100 runestones
Open Mimic chest
Upgrade Mimic to lvl 5
Summon friend's Fay for help
Spend 250 manacoins
Hire full team of imp-workers
Visit Crossroads once
Enchant Mimic
Spend 50 manacoins
Collect 100 manacoins
Collect 250 manacoins
Collect 500 manacoins
Create first Time Loop
Visit 7 new locations
Deal 10 000 000 000 000 damage with Magic
Receive 10 000 000 000 000 of damage in total
Demolish artifact
Craft 5 artifacts
Reroll artifact
Receive 100 gifts from Fay
Open 10 boosted chests
Use active skills 100 times
Visit 5 new locations
Found first dropable artifact
Craft new artifact
Open 10 chests
Upgrade Magic to lvl 100
Reach 100th stage
Encounter with the Governor's Club
Complete 10 Quests
Hire 5 heroes
Kill 100 bosses
Deal 10 000 000 damage with Magic
Receive 10 000 000 of damage in total
Hire 4 heroes
Visit 3 new locations
Receive 25 gifts from Fay
Receive 100 000 of damage in total
Deal 100 000 damage with Magic
Receive 1 000 of damage in total
Hire 3 heroes
Use active skill
Use active ability of each hero at least one time
Complete first Quest
Kill 10 bosses
Hire 2 heroes
Deal 1000 damage with Magic
Open first chest
Open boosted chest
Level up hero
Receive gift from Fay
KIll first boss
Kill an enemy with magic
Hire first hero
Obtain Hero Ring
Visit Crossroads 100 times
Reach 1000th stage
Reach 1500th stage
Reach 2000th stage
Reach 2500th stage
Reach 3000th stage
Max Hero Ring
Maxed Chronosphere
Collect 5000 Arrowheads
Collect 1000 Fingers
Collect 1000 Bones
Collect 1000 Horns
Collect 1000 Eyeballs
Upgrade Magic to lvl 1000
Upgrade Magic to lvl 2000
Upgrade Magic to lvl 3000
Create 25 Time Loops
Create 100 Time Loops
Create 1000 Time Loops
Open 1000 chests
Enchant 100 Mimics
Max all organelles for Mimic
Collect 10 of Wizard Notes
Collect 10 Gratogmorres
Collect 10 Tomes of Shield
Kill 10000 bosses
Level up hero to the max
Level up 2 heroes to the max
Level up 3 heroes to the max
Level up 4 heroes to the max
Level up 5 heroes to the max
Level up 7 heroes to the max
Level up all heroes to the max
Collect 100 gems from Quests
Level up passive skill to the max
Collect 20 000 runestones
Hire 100 imp-workers in total