Quick answer: In Sunderland you can play board games at D6 Den (board game café) and The Open Table at Culture House Sunderland (games event, Monday to Sunday, 2pm to 6pm, Level 2 Living Room).
D6 Den in Washington (about six miles west of Sunderland centre) is a tabletop gaming venue with a café, shop and bookable tables for board games, card games and more. Culture House on Keel Square has The Open Table, a free drop-in space with board games among other quiet activities. Newcastle has more going on across the river.
A tabletop gaming and community venue in Washington with a café (The Hungry Dice), a shop and bookable tables for board games, card games, wargaming and roleplaying. You can pop in for food and drink without gaming.
Gaming space hours vary; typically open days include Tuesday, Thursday and Friday 10am to 10pm, Monday 10am to 4pm, and some Saturdays and Sundays. Check the site for the next 7 to 28 days