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