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