Please excuse my ignorance, but you can buy milk in a bag?
A larger bag contains three 1.33 L sealed, transparent bags of milk (4L total). Pop the bag into a jug (special jugs are sold for this, but any old jug will work) and cut one corner off to pour it. Minimal waste, super easy to pour, no lid required, doesn't take up so much room in the fridge, doesn't take up so much room on the dinner table... what's not to love?
It's a single use plastic with no chance of reuse.
[0] https://www.youtube.com/watch?v=VTPgd4HUk4w
[1] https://www.thestar.com/news/ontario/2010/02/04/so_we_drink_...
And, as for the paper/cardboard thingies, the website is up on them too and is eagerly monitoring the developing situation: