We're fortunate that we only have four types of bin.
Weekly: Pink -food and garden waste
Two weekly: blue - paper and card
Alternate two weekly: Brown - Bottles, cans, and food trays
Three weekly: Black - non recycleable

It gets confusing without a calendar of collection dates.
Salford recently added the plastic food trays, and does take Tetrapaks, so it is quite good.
plastic films and food wrapping can go to the supermarket collection point.

It all helps but with multiple bins and multiple numbers of each colour at work, it all gets a bit silly.

man, that makes West Norfolk look just as stuck in a rut as it is. We have three standard bins - the key ones are "waste" and "recycling", all the standard "recycling" goes in the green bin, so basically most of the paper/cardboard must be useless waste by the time it gets to sorting (I expect almost all paper/card/plastic gets incinerated). Both are alternate fortnightly, though that's fine for us as they're full-sized wheelie-bins and take us 2 months to fill. There's also a tiny grey weekly food-waste bin, but all our food waste (and most of our cardboard) goes to the allotment at least. You can also pay for a brown bin for garden waste, but we use all ours at the allotment anyway (and the shared grounds are maintained here, we have very little garden for waste.)

I'd have much more confidence in the recycling system if we had to sort stuff more, which I'd gladly do. But the gammon here would revolt if you asked them to do that.

Yes, when I lived in York I worked for a small charity who had the contract to collect recycling in the city centre - used an electric vehicle and tricycles. We sorted everything at the kerbside, so could be sure it was done properly, and as a result got better prices from the waste merchants.

Seeing the stuff that gets put into the various bins here, we know just how poor some people are at sorting.

oh yeah, we have a neighbour who was putting used disposable nappies in the recycling. Hell knows what's going on in some people's heads. I see loads of recycling bins around here with stuff thrown in them in bin bags... which is one of the things the instructions we're always sent most clearly forbids, so what hope is there if people cannot even follow that. Whilst I think it'd be better if there were separate smaller bins for glass, plastic, metal, and paper/card... I know people would still manage to bugger that up (and in the case of plastic I think it's too hard a problem for most normal people to classify it, centralised sorting will always be required).

It's a difficult problem with no good solution (aside from the REDUCE part of reduce/reuse/recycle.)

There are days, when as I sort out the chaos left in the bins at my cleaning job, when I feel the solution is to shoot people who get it wrong, but I realise that is a little extreme...

I can never work out if they are too stupid to understand, or just don't care. Probably some people are one, some the other.

But it would work though....
https://youtu.be/rCZ86O3PO-U?feature=shared&t=46

Yeah, but in my defence, when I've been up since 6am, and it's cold and raining, and I open the blue wheelie bin (paper and card) and find it half full of plastic flowers.....

when they got to the scene of the crime they found the deceased surrounded by plastic flowers, that's when Detective Mason knew... the recycling bin serial killer was back.