Many new owners like draft crosses and draft breeds. These horses often have a quiet demeanor that beginners and some older riders enjoy. The downside of drafts and draft crosses is their size. Sometimes saddle fitand tack sizing can be difficult. For a rider with shorter legs or decreased flexibility just getting on and sitting on the horse can be a challenge. The larger the horse the larger the feed bill as well.
Many new owners and riders are attracted to gaited breeds like Kentucky Mountain Horses and Icelandic Horses. These horses are bred for good temperaments and hardiness. But again, much depends on individual temperament and training.