Animal traction, although still very much a niche, is increasingly used in wine-growing (see this article in The Guardian) whereby horses, mules and donkeys are preferred over mechanical traction (tractors). The most common task the animals are given is inter-row weeding and ploughing the soil, followed by spraying the vines and transporting grapes to the winery.  

France: Château Pontet-Canet, Pauillac.

Italy: Di Filippo, Umbria.

New Zeakand: Seresin, Marlborough.