I assume that your neighbours are out earning a living and thats why the bin's remain on the path and in the street all day.
If no-one is in, then no-one can wheel the bin round the back.
This happens in my street and no doub't thousands of other streets every week of the year.
If the council cannot force them to clear the path, then I assume there is nothing you can do.
In my area because the streets are narrow, people park half on the pavement, yet the council will not admit this is an obstruction, people with prams and in wheelchairs have to go in the road.
The damage to the paths and verges are very costly.
Speak to your local MP and call the local newspaper.