A street generally referred to any public road, especially in a city or town.
In the 2020s, Sanctuary Districts were used to house people that were living on the streets. (DS9: "Past Tense, Part I", "Past Tense, Part II")
When Spock was seven years old, his father Sarek told him that he had heard that he was seen fighting in the streets. (TAS: "Yesteryear")
In 2267, Spock noted how quiet the streets on Deneva were, following the stunning of several Denevans. (TOS: "Operation -- Annihilate!")
When Data was portraying Sherlock Holmes, Professor James Moriarty managed to become self-aware and eventually, control the Holodeck. When he was controlling the deck, the London streets started to 'malfunction' causing the grid of the holodeck to be visible from the street. (TNG: "Elementary, Dear Data")