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