The two British cattle breeds that are referenced in the crossword solutions are the Hereford and the Shorthorn. The Hereford is a hardy breed of beef cattle that originated in Herefordshire, England in the early 19th century. It is characterized by its reddish-brown body with a white face and underbelly. The Shorthorn is an ancient breed of cattle that was developed in the North East of England in the late 18th century. It is known for its hardiness and adaptability to different climates and environments.