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