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