There are no such things as Annanazi Jews.

If perhaps you are referring to Ashkenazi Jews, those are Jews of European Heritage (as opposed to Mizrahi or Sephardi Jews who are of Arab World Heritage) and compose the largest portion of the world Jewish population.

United Arab List was created in 1996.

70 years ago, there would have been an answer to this question that would have been interesting (170,000 Iraqi Jews, 285,000 Moroccan Jews, 140,000 Algerian Jews, 100,000 Jews in Egypt, etc.). However, Jews were driven out of the Arab countries from 1948-1955. 850,000 Jews fled the Arab States. 500,000 settled in Israel and the remaining 350,000 have found asylum elsewhere. Currently, the only Arab country with greater than 1,000 Jews is Morocco with roughly 3,400-4,000 Jews. Most Arab countries currently have less than 100 Jews.

It depends on how the term "Arab Jew" is meant.

If the term "Arab Jew" to refer to "Jews from the Arab World" it is worth noting that they identify themselves either as "Mizrahim" (Jews of the East) or "Jews from the Arab World". The term Arab Jew is seen by both Arabs and Jews to be quite problematic, but can be used as it makes "Arab" the physical descriptor of the type of Jew. The reverse (Jewish Arab) is not even historically acceptable for describing these types of people, whereas this type of identification is how Muslims and Christians identify (Muslim Arabs and Christian Arabs) because their religion describes what type of Arab they are.

The Mizrahim trace their origins back to the countries that came under Arab Islamic control prior to the arrival of the Muslims. The communities in Northern Africa were populated by Jews during the Roman Diaspora period. The communities in Iraq were the remnants of those Jews deported by the Babylonians who never returned to the Land of Israel, and so on.

If the question is referring to the Arab Tribes in the Pre-Islamic Period that embraced Judaism, it is unclear whether these were Arabs who converted to Judaism or they were Jews who migrated to Arabia and took on Arabic language and customs. Those Jewish Arab Tribes disappeared during the 600s CE because of the conflicts between them and nascent Islam and because of Caliph Omar's edict that all Jews had to leave Arabia or convert to Islam. As a result, none of these Jewish Arab Tribes have modern descendants who see themselves as Jews.

Although 90% of the Arab World is either Sunni or Shiite, there are other important groups.

Christians: There are large Christian communities in Lebanon (Maronites) and Egypt (Copts). There are smaller communities stretched throughout Palestine, Syria, and Iraq of Syrian Orthodox, Syrian Catholics, Assyrians, and Chaldeans.

Jews: The Jews who lived in the Arab World were never truly considered Arab both internally and by their Arab neighbors (even though they typically are by Europeans), but at the time of the declaration of the State of Israel there were over 800,000 Jews in the Arab World.

Other: There are very small numbers of Bahai'i, Zoroastrians, Yazidi, and many other religions within the Arab World. The sum total of this population is probably less than 10,000.