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