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