Anna was a fully jointed horse rider and Happytime her "thoroughbred" horse. You could put them in every riding position possible. There was also a male version called Peter and Sundancer, who was a Palamino horse.
All different sorts of accessories were available for Anna and Happytime including a stable, water jump and show jump. You could also kit Anna up in new hear with different outfits that were available - most of which included a riding jacket and jodhpurs.