- https://en.wikipedia.org/wiki/Operation_Barkhane
- https://en.wikipedia.org/wiki/Operation_Serval
- https://en.wikipedia.org/wiki/Op%C3%A9ration_Licorne
- https://en.wikipedia.org/wiki/Operation_Sangaris
- https://en.wikipedia.org/wiki/Operation_%C3%89pervier
And these are just _some_ of the terrestrial missions, to say nothing of air operations.
France's Army is small, but it does most of Europe's fighting, and is generally regarded as accomplishing a lot with very little.
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Edit: You might appreciate this mini-documentary about operation Serval. It's in English.
https://youtu.be/-QDnB6dMAb0