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