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