Instead we produce less waste, (general, recycling and compost) by buying much less stuff, buying unpackaged food and second hand goods (which means they usually don´t come in packaging), and eating as much of the food as possible by turning vegetable scraps into stock for example.
We still have things like coffee grinds and banana skins, so we do have a lidded bucket for collecting compost but this we empty (monthly) into friends´ or family´s compost or brown bin. We bring any packaging we do have to the bring centre directly, and our black bin waste amounts to about a sandwich bag´s worth every few months, so we just ask family if we can throw it in their bin too!