Everyone goes to the supermarket. This is why there are recycling posts there for bottles, batteries and lamps. It is a convenient place for a collection point.
My idea is to expand these supermarket collection points to include the collection of reusable plastic or glass containers. The supermarkets can start this transition to reuseable containers with their own branded products. Albert Heijn for example has many own branded products - a lot already in glass containers. The energy (CO2) used to clean a glass bottle and put a new label on it is significantly less than that needed to remake a bottle from recycled glass. Where glass is not practical (e.g. a butter tub) these could be redesigned using high quality, reusable plastic packaging.
The attached photo is of an Albert Heijn biolobigical ketchup bottle. With this product they are already halfway there - having replaced the standard plastic bottle with glass. Now all they need to do is provide a way for customers to bring it back.
The technology that allows the electronic collection of drink bottles already exists in supermarkets, this just needs to be expanded to include other food containers. People are already very familiar with returning bottles to the supermarket - even crates of glass bottles. So this idea does not require significant behavioral change. High quality plastic containers would also have the advantage of being light (for ease of transport) and stackable (to reduce volume).
Supermarkets have evolved to become the source of most of our food - and therefore much of our packaging. In the same way, I see supermarkets being the place we go to return the packaging - it is convenient and we are doing it in part already. I see supermarket activities being expanded to process (clean and reuse) this packaging and allow it to be reinserted into the economy.
p.s. I buy the AH ketchup in the glass bottle, but I like a the convenience of a plastic squeezy bottle. So I transfer the contents of the glass bottle to a squeezy bottle which I continuously reuse. I am working on an innovation that makes it easier to remove the ketchup from a glass bottle :-)