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