I wonder how many are actually seen stateside. I know Amelie was a French film, but that's where my knowledge ends.

If it's anything like the UK, not many. Which is a shame because they produce some fantastic stuff.

For a solid introduction to a few, the best film selection of the Cesars is a good starting point: https://en.wikipedia.org/wiki/C%C3%A9sar_Award_for_Best_Film