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