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