Sure. One of the oldest consistant crosses is Cleveland Bay on a TB mare. In the UK they have been using this cross over 100 years. They get a pretty consistant result, useful for all kinds of riding and driving. Taking the crossbred mare back to a Cleveland Bay stallion, the resulting 3/4 CB x 1/4 TB horses were highly desirable for cavalry mounts, hunters and coaching horses. They were very close in type, movement, athletic, easy to match, more speedy than the straight Clevelands. They actually had their own Yorkshire Coach Horse Studbook until automobiles took over for driving horses.
Cleveland Bays really stamp their get, being so close in body type, no out crossing in the Purebred book for years. It is a bloodline Heritage Breed, rather than being changabile like the Warmblood Registries. Stallions must be inspected against the breed standard, approved for breeding to get his foals registered. They will register Partbreds down to 1/8th CB in the book for tracking purposes.
We have all CB partbreds, love them for their athletic ability, kindly minds, willing to do whatever we ask of them. They ride, they drive, do it well, easy to live with at home. A reliable result from the CB x TB breeding cross. You can usually spot a CB, part or purebred by their large ears! Proportional to their head and body size, but it is certainly part of the CB look, along with big bone and good size hooves under the large body. These Partbred CBs in competition are consIstantly misidentified using other breed or Warmblood names. No one expects the Cleveland Bay! Ha ha We have had to go to the Announcer to correct the breeding when our horses are called for ribbons.