My 3 year old loves milk. Drinks it all day long. He was breastfed until 2 and now drinks full fat milk. He'll have a cup with breakfast (even if breakfast is a bowl of cereal which already has milk) and then he'll drink milk throughout the day. He drinks water no problem but I'm only realising now maybe I should be encouraging him on the water instead of milk as always the go-to drink. After a cup at breakfast he'll easily go on to drink another 3 cups throughout the day or more! That's 200ml at a time.
Tbh it's probably an average of 2-3 cups a day but this past week it's been a looot which I've not bothered about as he's been sick and only just well again so I let him drink all he wanted.
Is there such a thing as too much milk? He also loves yoghurt and cheese which he's consuming on top of all the milk! My pregnancy craving was milk maybe I've passed the obsession on to him!