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