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