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