It is difficult to make global rankings for MES because in different countries courses will have different designations and be incorporated into different groupings depending on whether they focus on languages and linguistics, literature, art and archeology, history, religion, law, social and political sciences, on countries grouped in different ways (Middle East, Islamic World, Arab World, 'the Orient', etc.) and so on. That is before you even consider how you would rank courses that are the study of these topics in the actual country in question. Even just for the UK, institutions can decide whether they want to designate their course as an area studies course, or a subject by area course which affects which ranking they fall into.
In terms of relative merits, it depends whether you are comparing say UK vs US, or UK vs France, or UK vs Jordan. There would be different pros and cons depending on where you are comparing.
Generally, I would look for places that have actual centres or institutes, not just one degree course, as they will have better resources and more of a community. This is especially important if you want to learn Arabic or a similar language, which I would think is a good idea. Off the top of my head:
- For the US, I would look at the Title VI National Resource Centers for the Middle East. These are 15 or so universities that are selected to receive special government funding as leaders in the field. They are mostly the Ivy League and other very top colleges, but there are some others.
- In Europe, as in the US, a lot of the time you will be looking at the most highly ranked universities in a particular country, as NME/MES courses tend to be quite niche, not particularly popular and often somewhat resource intensive. This probably makes things a bit easier when considering relative merits, as many of them will be amongst the best universities in their country anyway. Generally, it's a bit like the UK with centres in the top universities plus a few specialist institutions.
Germany: Heidelberg, Marburg, Bamburg, GIGA. France: INALCO is a specialist, otherwise it's EHESS and other top universities. Belgium: Leuven and Ghent. Netherlands: Best is probably Leiden. Others: Uppsala, Lund, Copenhagen, Bergen, Oslo. I imagine there must be places in Spain.
- In the Middle East it is difficult to say because part of the benefit will just be from learning about that country while in the country itself. I would probably go for general name recognition / general ranking, rather than a specialisation, for the sake of transferability. Israel is a tricky one in terms of course content.