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