The British and French did in the Syria-Libanon campaign in '41. A superficial search didn't show an mounted cavalry in the North Africa campaign. All sides did use horse cavalry quite a lot at the Eastern Front, the Polish cavalry managed to stop German panzers for two days, the Poles and Germans even fought a cavalry-vs-cavalry battle (https://en.wikipedia.org/wiki/Battle_of_Krasnobr%C3%B3d_(193...). The Soviets did some raiding using cavalry, while the SS used horse mounted troops in their genocide operations.
Quite fascinating topic, horses in WW2. I'll have to some more research on this.
Quite fascinating topic, horses in WW2. I'll have to some more research on this.