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