A café was a sort of restaurant that sold coffees, sandwichs and other refreshments. (TV: Remembrance of the Daleks)
Some cafés included tables that held computers that could connect customers to the Internet. (PROSE: The Dying Days)
The Doctor patronised several cafés, including Café de Saint Joseph, Café Vosta, the Old Rogue and Terry's Café. (PROSE: The Crystal Bucephalus, AUDIO: The Old Rogue, COMIC: Fried Death)
Coffee shops were so popular that there was a Planet of the Coffee Shops. It was voted the number one place to visit for the discerning intergalactic traveller. (TV: The Girl Who Waited)
Harry owned a café in 1963. (TV: Remembrance of the Daleks)
In 2013, the Eleventh Doctor and Clara Oswald used one London café's Wi-Fi to have breakfast and to track down the location of people whose minds were being uploaded by the Spoonheads. After Miss Kizlet taunted the Doctor's protection of Clara by controlling the minds of everyone inside along with making them leave, she had a Spoonhead disguised as the Doctor upload Clara. From the café, the Doctor hacked into the Spoonhead, remotely controlling it to reach and upload Miss Kizlet. This forced her workers to release the entire data cloud of minds uploaded for the Great Intelligence. (TV: The Bells of Saint John)