DISCLAIMER: Solvang is nothing like Copenhagen. The only reason I know this is because I was lucky enough to experience the real thing (Denmark) last year. Nonetheless: Solvang, a town in the Santa Barbara County area, is way worth a day trip. Embrace the cheesiness of the windmills and the horse drawn carriage rides.
A pleasant surprise right around the corner from Solvang, is a little town called Los Olivos. If you love days under shaded trees, sipping delicious wine and marveling at corrugated metal covered buildings, please do yourself a favor and spend a weekend in Los Olivos. Our lunch was one for the books, and the town will steal your heart.