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