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