We have many Gypsy Horse owners across the world, very into dressage now. Gypsies are also very good jumpers and love to do it.
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They come in all sizes from really small 12+ hands to 15+ hands. If you want a really big one, you might look into Drum horses. They are ususally a cross between a Gypsy and Shire or Clyde.
All these big guys are quite a lot more agile than one might think.