In the part of Denmark I am in we have a biweekly pickup of recyclables, paper, metal, glass, plastic, as well as other bigger items being thrown out - furniture etc. and a deal to pick up medical wastes cleaning supplies in longer periods.
Danish houses, and even the houses where I am located at, are typically smaller than American middle class housing.
When Americans talk about sorting they tend to mean sorting different kinds of plastics and such, not the top level "basic" categories such as paper, glass, metal, and plastic. Or at least that's what it meant in a couple places I lived (most places I've lived recycle different plastics, for example).
Danish houses, and even the houses where I am located at, are typically smaller than American middle class housing.