Broncobuster is a word used to refer to a person who tames wild horses. However, there are several other synonyms that can be used to describe this occupation. For instance, a horsebreaker is someone who breaks in wild horses so that they become easier to manage. A horse trainer is another professional who uses various techniques to train horses and make them more obedient. A wrangler is a person who handles livestock on a ranch, including taming and feeding horses. Additionally, a mustanger is someone who captures and trains wild horses for sale or use. In conclusion, these are some of the synonyms that can be used interchangeably with broncobuster to refer to people who work with wild horses.