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