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