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