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