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