We have two wheelie bins; one black, one with a green lid. All your skanky rubbish goes into the black bin, things that are able to be recycled (as defined clearly on a leaflet) go in the green bin. All very simple. So long as your lid is down - our black bin has never overflowed, although sometimes the green bin requires a bit of squashing in order to fit a last empty cereal box in before collection day - there is no problem.
Also, between March and October, the council will collect garden waste the day after the green bin is emptied. You can put your garden waste into the green bin, or if you want, you can get a brown lidded bin for the purpose. Or you can do it the old way and take a trip to the 'tip' (which, as you may remember, is next door to the headquarters of Boots, along with a sewage plant - think about that next time you use their Botanics range

They're currently considering a glass collection, after a trial last year.
Do I have an exceptionally good local council or something? Because I really don't see how fortnightly bin collections mean the end of life as we know it. So you have to wash out the occasional margerine tub...so what?
Chip-in-bins, however, are a different matter...