In Aftermath: Life Debt it's mentioned that the Death Star has a bar, albeit a lousy one.
Do Imperial Star Destroyers have any sort of entertainment/bars for crew members?
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Nothing official I've seen or quickly researched again just now offer any information on recreation/entertainment for ISD crew.
The Dorling-Kindersley cutaways are the best detail I can find, but no luck.
However, there are almost 40,000 crew on an ISD, and if they're running a 3(or more)-watch system, then a significant number of those will be off-duty.
We could use Earth-based navies as analogues - ships and submarines have multiple wardrooms and messes were crew can play boardgames, read, watch TV/movies and relax. The bigger ships can even have kiosk style shops to buy cigarettes, magazines, and snacks.
We do hear a conversation between two Stormtroopers in SW:ANH about some new hologram that's worth watching - this could be on a personal viewer in a bunkroom/quarters, or in a wardroom type arrangement with a bigger viewer, perhaps.
Other than that, there's some mention under Death Star (from Legends, not Canon) in Wookieepedia regarding recreational facilities, but no references
Facilities included parks, shops, and other amenities for the Human crew
Finally, there is this from the Galactic Data Bank regarding ISDs, which is admittedly even less canon than Wookieepedia:
A civilian area, with shops, services, eating establishments and leisure centres are found as well. Crew quarters include bedroom, living area with communications nook, and a small toilet room. Unlike most Imperial warships, the ISD provides recreational facilities for off-duty personnel. These multiple facilities are fairly large.