Great list, iviehoff, even if it does include some translations. I'm happy to know Bandariki, translation or not.
I forgot about Saksa. Germany does seem to be the champion if we're counting distinct etymologies and not counting translations (as I think is right to keep this interesting). Six altogether, counting Hebrew Ashkenaz, which I also forgot.
Re: Lengyelország. Poland is Lenkija in Lithuanian. Does anyone know the etymology of those? Was there a particular group of Poles called Lensky or something? (That sort of thing is not uncommon. It's the origin of Allemagne from Alamanni, the group of Germans closest to France; and also of Arabic Yunan for Greece, from Ionia; and probably of Ruotsi.)
And re Olaszország. Does Hungarian lack initial v or w? In Polish Italy is Wlochy, from the Germanic root (meaning "foreign" or "Celtic or Romance speaking") that you get in Welsh, Vlach, Walloon, walnut (=the foreign nut). My bet would be that the Olasz in Olaszország came from something like Volochs.
Don't know why Austria is Rakousko in Czech. Does anyone?
Quiz time: Looking for iveihoff's names took me to a site, a link to which would would spoil the fun. From that site I learned that there is a country that the the Estonians call Uus-Meremaa, which is arguably the biggest exception to iviehoff's "near neighbor" rule (and arguably not). Noddy badge to anyone who gets it without looking. (I'm sure I wouldn't have, even with the very vague hint I just gave.)
Edited by: VinnyD to add Ashkenaz.