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