Gayer-Anderson Museum.

A treasure trove of Egyptian artefacts from various periods in the country's rich history, the Gayer-Anderson Museum, originally built in the 17th century, is also an architectural masterpiece that oozes heritage and charm. Located in the same complex as Ibn Tulun mosque, you can make a turn at the museum when coming to Islamic Cairo anyway to see the mosque (or vice versa). Despite the fact that it was home to Mr Gayer-Anderson, after whom it is named, for only a couple of years in the 1930s and 40s, he managed to create a unique hybrid museum-cum-home space in which he and his family lived among his collection of oriental furniture, rugs, statues and other objects. Imagine how eerie that must've been! It is now open to the public so you can go for a self-guided tour up whimsical staircases and down half-lit corridors, and behind every corner there's a new thing to be discovered, a small patio maybe, a fountain or a secret nook.

http://www.sca-egypt.org/eng/MUS_Gayer-Anderson.htm