Cegorach1 mentions Poland-Lithuania.
This site gives a lot of good information on them. Both the Polish/Lithuanian armies and those of their intermittant enemies the Tartars of the Crimea and the Cossacks were very cavalry heavy. Interestingly there is mention of Tartar allies giving the Swedes a bit of trouble in one of the campaigns towards the end of the 17th century. Rather strange to have a modern (for the time) European army being taken apart by something as archaic as a horde of horse-archers.
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