@jennyb
The Mediterranean does not really have " side dishes " served in a separate plate or bowl.
Culturally, Paellas ( each town, each family & every restaurant have their own traditional recipes ) and it is the main Iberian rice dish ..
The same in Italy, as Risotto is the key rice dish and is not a side usually .. It is a course & sometimes it is served with veal or chicken but on the same plate .. And it is considered the main course of that meal .. Not a side served separately.
Greece, has a scented lemon, dill, mint, currant & prawn rice used predominately, to stuff Dolmades, a Mezze or Appetiser of stuffed grape leaves ..
Of course, it could be used as a "side" if you wish to and like the profile ..
However, in Greece it is a key Mezze ..
Some Asian rices are used as "sides" however, this too is a " rarity " .. The Chinese are perhaps the only Asians that I have seen, and I spent 1 month in Hong Kong, that eat a bowl of rice by itself .. As a course, not as a " side " ..
Thai and Japanese usually have a rice dish with shellfish or fish or algae in it and it is not considered a " side dish ".. It is a course or main entrée ..
Persian Irani and Indian eat rices however, as a main starter or main entrée .. They are aromatic and amazing .. The Himalyans as well ..
Could be wrong, however, I am inclined to believe that side dishes are a North American and / or British Isles ( U.K. ) form of dining.
Have a lovely day and summer ..