A Coffee shop was an Earth craze in the late 20th century. Small shops sold coffee to otherwise intelligent people for exorbitant amounts of money.

This was listed by Tom Paris as one of the many things he loved about Earth's 20th century. (Star Trek Cookbook)

In 2255, in an alternate reality, Cadet James T. Kirk visited an coffeehouse named Brewsky's in San Francisco, where he became friendly with a barista named Hannah. (TOS - Starfleet Academy novel: The Delta Anomaly)