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