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