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