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