Here is the full list of all 100 Tap Tap Infinity achievements. It takes around 200 hours to unlock all of the achievements on Windows.
Defeat 10,000 Bosses.
Reach a high enough Rank to Ascend 10 times.
Level up your heroes 1,000,000 times.
Reach a high enough Rank to Ascend 5 times.
Train 1000 hero skills.
Go Infinite 10 times.
Open 100 Mystery Gifts.
Open 500 Mystery Gifts.
Open 1000 Mystery Gifts.
Open 3000 Mystery Gifts.
Defeat 100,000 monsters.
Reach a high enough Rank to Ascend 3 times.
Level up your heroes 500,000 times.
Use Valor Points to upgrade Heroes 100 times.
Defeat 10,000 monsters.
Defeat 1,000 Bosses.
Train 500 hero skills.
Go Infinite 5 times.
Gain enough XP to reach Rank 1,000.
Clear level 1000.
Level your heroes up to do 1E+260 DPS.
Level up a single Hero to level 8000.
Collect 5E+260 gold.
Collect 5E+200 gold.
Level your heroes up to do 1E+200 DPS.
Clear level 3000.
Use Valor Points to upgrade Heroes 50 times.
Use Valor Points to upgrade Heroes 25 times.
Use Valor Points to upgrade Heroes 10 times.
Level your heroes up to do 1E+160 DPS.
Level up a single Hero to level 4000.
Collect 5E+140 gold.
Reach a high enough Rank to Ascend 1 time.
Gain enough XP to reach Rank 500.
Level up your heroes 100,000 times.
Level your heroes up to do 1E+126 DPS.
Gain enough XP to reach Rank 300.
Upgrade your Spells 30 times.
Collect 5E+70 gold.
Collect 5E+92 gold.
Collect 5E+110 gold.
Level your heroes up to do 1E+64 DPS.
Level your heroes up to do 1E+92 DPS.
Level up a single Hero to level 2000.
Clear level 500.
Collect 5E+50 gold.
Upgrade your Spells 20 times.
Upgrade your Spells 16 times.
Upgrade your Spells 9 times.
Gain enough XP to reach Rank 100.
Defeat 100 Bosses.
Level your heroes up to do 1E+40 DPS.
Clear level 300.
Defeat 5,000 monsters.
Gain enough XP to reach Rank 50.
Upgrade your Spells 3 times.
Level up a single Hero to level 1000.
Clear level 150.
Collect 5E+28 gold.
Train 100 hero skills.
Tap 1,000,000 times.
Tap 500,000 times.
Go Infinite 1 time.
Clear level 100.
Level your heroes up to do 1E+22 DPS.
Open 10 Mystery Gifts.
Level up a single Hero to level 500.
Tap 250,000 times.
Defeat 1,000 monsters.
Level your heroes up to do 1E+12 DPS.
Level up your heroes 1,000 times.
Clear level 50.
Collect 5E+12 gold.
Defeat 10 Bosses.
Gain enough XP to reach Rank 10.
Tap 100,000 times.
Tap 50,000 times.
Level your heroes up to do 1,000,000 DPS.
Level up a single Hero to level 200.
Clear level 25.
Perform 10 critical taps in 1 second.
Tap 36 times in 1 second.
Train 10 hero skills.
Tap 10,000 times.
Level up your heroes 100 times.
Collect 500,000 gold.
Level your heroes up to do 1,000 DPS.
Clear level 10.
Tap 1,000 times.
Perform 5 critical taps in 1 second.
Tap 14 times in 1 second.
Tap 20 times in 1 second.
Tap 28 times in 1 second.
Perform 3 critical taps in 1 second.
Defeat 500,000 monsters.
Defeat 1,000,000 monsters.
Defeat 5,000,000 monsters.
Go Infinite 50 times.
Go Infinite 100 times.
Reach a high enough Rank to Ascend 16 times.