I don't drink skim milk. A minor reason is flavor - flavor is in the fat.
Average butterfat content from old-fashioned cows at the turn of the century was over 4% (or more than 50% of calories). Today butterfat comprises less than 3% (or less than 35% of calories). Worse, consumers have been duped into believing that low-fat and skim milk products are good for them.
Only by marketing low-fat and skim milk as a health food can the modern dairy industry get rid of its excess poor-quality, low-fat milk from modern high-production herds.
Butterfat contains vitamins A and D needed for assimilation of calcium and protein in the water fraction of the milk. Without them protein and calcium are more difficult to utilize and possibly toxic.
Without vitamin D, less than 10 percent of dietary calcium is absorbed. In the American diet, whole milk was the traditional source of vitamins A and D and calcium. Skim milk - especially industrial skim milk - is an inferior source of both. Skim and 2 percent milk must by law, be fortified with synthetic vitamin A and synthetic vitamin D 3. There is evidence that both synthetic vitamins are toxic in excess.
Butterfat is rich in short- and medium chain fatty acids which protect against disease and stimulate the immune system. It contains glyco-spingolipids which prevent intestinal distress and conjugated linoleic acid which has strong anticancer properties.
Real feed for cows is green grass in Spring, Summer and Fall; stored dry hay, silage, hay and root vegetables in Winter. Vital nutrients like vitamins A and D, are greatest in milk from cows eating green grass, especially rapidly growing green grass in the spring and fall. Vitamins A and D are greatly diminished when milk cows are fed commercial feed. Most milk (even most milk labeled "organic") comes from dairy cows that are kept in confinement their entire lives and never see green grass.
Look for milk from grass fed cows. You might not find non-pasteurized (real) milk at your local natural food store but it is possible to find non-homogenized full fat milk from grass fed cows.