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