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