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