Here is the full list of all 15 Mushroom Wars achievements.
Earn all rewards in all Campaign levels
Achieve maximum attack level
Earn all 9 rewards in a single Campaign level
Achieve level 5 morale
Upgrade your village to level 5
Capture an enemy building without having any of your own
Achieve victory on all Skirmish maps on highest difficulty
Win a Skirmish game
Complete Campaign
Complete Campaign on highest difficulty
Complete Campaign in under 60 minutes.
Capture 300 enemy buildings
Encounter aliens in Campaign
Earn each reward at least once
Encounter forest warriors in Campaign