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