Broncobusters are individuals who break in and train wild horses. If you're looking for alternatives to this unique term, then there are several options to choose from. Other phrases that are commonly used for similar roles include horse trainers, horse whisperers, horse breakers, and horse tamers. Each of these phrases accurately represents the skills and expertise needed to train wild or difficult horses. You might even consider using more general terms such as equestrian specialist, equine trainer, or even cowboy. Whichever phrase you choose, it's clear that these skilled individuals share a deep-seated passion for horses and the art of breaking in wild steeds.