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