blood sport
Refers to sports or spectacles involving violence, injury, or killing, such as bullfighting or cockfighting. The term carries a negative connotation.
Bullfighting is sometimes regarded as a type of blood sport.
Animal welfare groups are calling for a ban on blood sports.
sport involving pure-bred animals
A less common, somewhat euphemistic use referring to sports like horse racing or dog racing that involve pedigree animals. This sense is not widely used and may be considered dated or niche.
Horse racing is sometimes called a blood sport, but this usage is not common.