Kiwicoin was a failed attempt at creating a coin for New Zealand. Likewise,
Aphroditecoin for Cyprus and HellasCoin (no English [ANN] thread) and
Greececoin for Greece. While all are considered failures now, I think Aphroditecoin was the most successful out of these since it appeared in quite a few mainstream news sites including Reuters and
Yahoo! News.
Article at CCN:
http://www.cryptocoinsnews.com/hope-cyprus-aphroditecoin-now-4th-market-cap/There is also
MediterraneanCoin but it doesn't seem to have anything to do with the Mediterranean.
Also, they're not really countries but related are
Mazacoin for the Traditional Lakota Nation,
New York Coin for New York, and
CaliforniaCoin for California.
EDIT: There is also FIMKrypto (FIMK) for Finland. It's a NXT clone. [ANN] thread is
here.
EDIT 2: Again, this one's not really a country (well, at least not anymore) but there is
Denarius for Ancient Rome.