Here (Ireland) we have separate (brown) bins for food waste. They are also free, while the black (normal waste) bins are not. We also have green bins for recyclables. It's not perfect, but I do think the brown bin system is a pretty good idea.
Also we have separate collections for glass, paper, plastic etc. So if you put in some effort, you can go a full year without having to empty your black (landfill) bin.
Separate collection for organic matter, paper, and plastic also differs from municipality to municipality. In mine organic matter and paper has its own bin, but we have no separate plastic bin, and glass goes in public glass recycling containers.
I don’t think this is the approved method for getting compliance, but it worked.