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