Here is the full list of all 74 Kingdom Rush achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Have your Paladins perform 100 Holy Strikes.
Have your Elves deal 10000 points of damage.
Fire the Sunray 20 times.
Find the ninja master rat.
Discover the hidden monster under water.
Capture the attention of the mysterious crow.
Help Fredo escape.
Free the sasquatch on the Icewind Pass.
Recruit max elves at The Silveroak Outpost.
Kill 10 or more sheep with your hands.
Change soldiers' rally point 200 times.
Defeat Lord Blackburn to avoid war between kingdoms.
Defeat Moloch the Demon Overlord.
Defeat Myconid, the Rotten Fungus.
Kill 25 Shrooms without them poisoning your soldiers.
Defeat Ulguk-Hai the Troll Warlord.
Find the 5 legendary lost ice-shrooms.
Defeat 10 Troll Pathfinders while they're treading on ice.
Earn 45 stars.
Do not let The Kingpin escape.
Defeat Greenmuck and its minions.
Have your Paladins heal a total of 7.000 life.
Find the elusive acorn.
Teleport 250 or more enemies.
Kill 15 Wererats before they sicken any soldier.
Throw 500 or more axes.
Defeat Sarelgaz and its minions.
Disintegrate 50 or more enemies.
Snipe 50 enemies.
Hold 500 or more enemies with Wrath of the Forest.
Sell 30 towers.
Complete the campaign.
Kill 50 enemies by poison damage.
Summon 5 rock elementals in any one stage.
Build 4 Tesla towers in any stage.
Shoot 100 missiles.
Sell 5 towers in a single mission.
Train 1.00 soldiers.
Polymorph 50 enemies into sheep.
Send 1.000 soldiers to their deaths.
Defeat Gul'Thak and its minions.
Drop 1.000 or more bomblets with the cluster bomb.
Have your soldiers regenerate a total of 50.000 life.
Defeat 9 legions before they replicate.
Defeat Vez'nan.
Have your soldiers survive the explosion of 300 demons.
Kill 10.000 enemies.
Earn 30 stars.
Kill 300 enemies with electricity.
Build all 8 towers specializations.
Defeat J.T.
Train a hero up to max level.
Have a single barbarian kill 10 enemies.
Build 150 towers.
Train a hero up to level 5.
Earn 15 stars.
Call all waves early in a single mission.
Have at least 3 Imperial Guards survive in the Citadel.
Defeat The Juggernaut
Build 100 towers.
Kill 2.500 enemies
Kill 100 enemies with meteor showers.
Upgrade all basic tower types to level3.
Use Rain of Fire 5 times in a single stage.
Catch a fish.
Build 30 towers.
Open 5 information cards.
Call 10 waves early.
Kill 500 enemies.
Kill one enemy.
Call a wave within 3 seconds of the icon showing up.
Complete all heroic stages.
Complete all iron stages.
Complete the campaign in Veteran mode.