You could use a PivotTable, putting the country on the left side and
just having a count for the actual data.
Alternatively, you could use the advanced filter
(Data->Filter->Advanced Filter) to generate a static list of each
individual country, and then use a COUNTIF() on your full list for each
country. To use the advanced filter, specify the data range to be
just the column with the country names, make sure to choose Copy To
Another Location and specify the location, and also check Unique
Records Only button.
Scott