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