The Quincentenial Foundation Museum of Turkish Jews (Jewish Museum of Turkey)has a website where you get more information. It is close to the Karaköy tramway stop, and shows a synagogue and many objects pertaining to Jewish life. A very large amount of information can also be read on boards one can leaf through like a book, which I did not, not being in a reading mood.
The site of the museum states "Jewish history is full of sad events which are marked by commemorations and memorial services. But now there was a major event to celebrate. To celebrate both the 500th anniversary of the welcoming of the Sephardic Jews to the Ottoman Empire and the five centuries of continuous and peaceful life in Turkey. The Quincentennial Foundation was established in 1989 by a group of 113 Turkish citizens, Jews and Muslims alike. Founded and headquarted in Istanbul the Quincentennial Foundation planned a three-year (1990 - 1992) cultural and academic program both within Turkey and abroad - mainly in the U.S, Canada and Mexico on the American continent; France, United Kingdom and different countries in Europe. The Foundation embarked on a very ambitious program as befits the greatness of the occasion. What Turkish Jews lack in numbers they make up in enthusiasm and commitment. And they towarded their vision with great excitement. That program had been designed to bring the diverse and rich legacy of Turkish Jewry to a greater audience."
I did not take the trouble of reading all the notices that would have helped me identify the objects I took pictures of, so feel free to write a comment if you know what they represent.