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