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