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