Well, I live in the Texas panhandle so the most common breeds here are the stock breeds. Mostly quarter horses, then there are fewer paints, and I'll see an occasional appaloosa. Occasionally you will see a thoroughbred, but not often. Then there are a few folks that have draft or draft cross horses, but they are few and far between. Lots of folks have mules/donkeys but they are more often herd guardians turned out with the cattle and are seldom broke.
Gaited or other "off" breed horses are virtually unheard of. I can count on one hand how many times I've even seen a gaited horse in real life.
In my area you see mostly QH or paints. Not many thoroughbreds, but quite a few Arabs. I live in the city, and there's a big ranch just down the street that was really big into breeding QH race horses. I think they've been there since before we were considered in the city. I don't know exactly what they do now, but there are still horses there and babies every year, but I've never seen their race track being used. A little bit further down the road is a super fancy Arabian training/boarding facility, with high brick walls so you can't really see what goes on. My point being if that's what's going on in the city, that's probably where the demand is, QHs and arabians.
In the Netherlands many different breeds, like KWPN, Arabian horse, welsh pony, friesians, icelandic hors, haflingers, shetland pony, tinker horse, drafthorses and a lot more :p
Don't really know if the names in dutch are the same as in english.
Lexington, Kentucky here so of course the thoroughbred is king. There are also a lot of Saddlebreds, quite a few Morgans, lots of minis, some Arabs, lots of Quarter horses and paints, some standardbreds although not as many as there used to be :(