We have a cat but he doesn't like milk, or cheese, strangely. First cat I've known not to like either or both. We had school milk in the 50s, in 1/3 pint bottles, and a choice of orange juice (which I preferred) and then Jersey milk was very creamy (it's not now due to over processing). I can remember the milkman delivering the milk in churns and filling up a jug my mother used to leave on the doorstep. I think they introduced bottles in about 1956. Then bottles were replaced by humbug shaped Tetra Paks in about 1967.
(Software) Cats shouldn't have milk too often but binge-licking every now and again won't do any harm. Cats are also useful for hoovering up bits of chicken off the floor.