Attend any West Coast horse show, and you’re likely to hear the name Karazissis frequently announced over the loudspeakers. It’s partially because there are so many of them—at any given time you might see Jenny, Kost, Nick, Nick Jr., Katrina or Cassandra standing by the in-gate—but mostly because they’re so successful as trainers and competitors. Far West Farms in Calabasas, Calif., has become an institution, known for turning out top riders and horses.