A coffee shop (or coffeehouse) was an Earth craze in the late 20th century. Small shops sold coffee to otherwise intelligent people for exorbitant amounts of money.
Eva's Kitchen was a coffee shop in Harlem in New York City. (DS9 episode: "Far Beyond the Stars")
This was listed by Tom Paris as one of the many things he loved about Earth's 20th century. (ST reference: Star Trek Cookbook)
In 2255, in the Kelvin timeline, Cadet James T. Kirk visited a coffeehouse named Brewsky's in San Francisco, where he became friendly with a barista named Hannah. (TOS - Starfleet Academy novel: The Delta Anomaly)