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