Istanbul has a beautiful Museum of Islamic Arts next to the former site of the Hippodrome -- which now serves as a long plaza. The building combines old elements, the palace of the grand visier of Sultan Suleyman from the 1500s, with new halls etc. in an understated and pleasing way.
Unfortunately, although someone put great thought and effort into the museum's organization and displays, it really isn't curated in a useful way.
Here's what I mean. The museum is organized by islamic empire -- and there were many. There's maps and general descriptions of their artwork and rulers, but virtually nothing on the individual objects on display. Nearly anything about the objects themselves and how one empire's objects -- predominantly books -- were different from the next would have been helpful. For more recent periods there were fewer books and more objects, but why the museum put one particular worn out carpet on display rather than another remains a mystery.
Still the books and their calligraphy were genuinely beautiful -- fantastically so in some instances. And, I found what appeared to be a collection of reliquaries for the beard hairs of Prophet Muhammad curious.
The effort and resources devoted to the museum were obvious in several large video and multimedia displays. (There was motion and color in these, but nothing worthwhile. To see pottery from Raqqa, one must stand in a dark room watching a video of stylized birds or something, and wait for the lights that illuminate the pieces to come on for a moment. Yet meaningless multimedia is such a usual feature of modern museums that one can't complain about these.)