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