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