That's really difficult. As you can't even buy canned goods, as the can has a plastic liner sprayed on it to keep the steel or aluminum from corroding from acidic foods like tomatoes.
With respect to long term impact, we are better off taking other approaches. Reusable glass may sound great, until one realizes that they end up with mountains of glass in the place of mountains of plastic. While there are places that will take back glass jars for reuse, a lot of glass simply ends up being recycled. The actual issue is packaging.
To see how much of an issue this is, start saving the realistically reusable packaging instead of recycling it: glass jars, plastic tubs, cardboard boxes, etc.. For most people, the amount that they collect is in extreme excess of what they can reuse.
Getting back to the original point: don't fret over that plastic sprayed liner, plastic tub, or plastic bag. In a lot of cases, it serves a legitimate purpose. It is far better to think about what it says about us. The author illustrates that in the article. He discusses the impact of convenience meals in his life. He noticed that he was ordering a lot online rather than supporting local producers and vendors. The lessons that Hayes takes away from his experiment may be different what other people learn, yet they are lessons all the same.
I worked at a supermarket in high school and this was back when the glass 2-liter soda bottle was introduced (during the US's short-lived metric system push). And shortly afterwards, the 3-liter bottle was added. Since they were glass, when one fell off the shelf it was a huge mess (the 3-liters were significantly more delicate). Several times a week, we'd hear a smash, followed by "Wet clean-up on aisle 5"
We had a wire cage at the front of the store where you could return the bottles and get your deposit back. None of the employees liked dealing with it, as customers never rinsed their empties, so it attracted insects. Branding also entered into it, as the Pepsi deliveryman would only take Pepsi empties, and the Coca-Cola company only wanted theirs. So their route was delayed as they fished around for their bottles in the cage.
I think reducing the amount of plastic we use is an excellent goal. And it's possible today that people are as-or-more accepting of the extra work involved than they were in the 1970's. But I doubt that it'll gain widespread acceptance because plastic solves so many problems. So an incentive may be necessary, like deposits on plastic bottles & containers, to encourage people to return them (and they don't end up as litter)
In Denmark there are two categories of glass bottles with deposits. Particular types of drink must have a deposit on the bottle, and imported or smaller producers don't reuse the bottles. The biggest producers (e.g. Carlsberg, Coca Cola) wash and refill their bottles.
Here, plastic bottles and drinks cans are crushed and melted, but in Germany the largest users of plastic bottles (Coca Cola etc) use sturdier bottles, which are washed and refilled.
Recycling cans is economically viable, so they aren't just going to be getting dumped, and the plastic isnt likely to escape in the mean time.
The wasted coated paper carton would be incinerated here, and used for electricity and heat.