WordNet (r) 3.0 (2006):

dairy farming
    n 1: the business of a dairy [syn: dairying, dairy farming]

Moby Thesaurus II by Grady Ward, 1.0:

21 Moby Thesaurus words for "dairy farming":
   animal husbandry, animal rearing, bee culture, beekeeping,
   breeding, cattle-ranching, chicken-farming, dressage, gnotobiotics,
   grazing, herding, horse training, horsemanship, mink-ranching,
   pig-keeping, sheepherding, stock raising, stockbreeding,
   thremmatology, zootechnics, zootechny