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