Yeah, horse and cart.
We don't often use them as we have regular recyling collections (apart from when it snows) but we did use them once after we just moved in to get rid of some crap the last people left behind, and we go to dump with anything that doesn't fit in the bin.
It might be local to the west of the city though, I dont remember ever seeing one when I lived in the east.
But the east did have its own thing, a van that drove round selling bread and other groceries, plus thanks to a newspaper article, I discovered they also sold porn.