Start a new game and select the “allow restarts” option. Play a level and don’t let the enemy destroy any houses and then move on to the next island. If you lose a house than at the end of the level choose
to restart the map. You won’t lose your progress towards this achievement unless you lose a house and go back to the map. Replay lost levels until no house losses and then move to the next island. Achievement pops upon returning to map after the 10th win.