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