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