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