Derby, e.g.

HORSERACE

Think of a competitive event where jockeys guide their mounts around a track, often associated with prestigious annual competitions like the one held at Churchill Downs.

"Derby" is a well-known type of horserace, like the Kentucky Derby, so the clue uses it as an example. The word "e.g." signals that "Derby" represents a category—here, competitive horse races. Since the answer needs to name that category broadly, "HORSERACE" fits perfectly as the general term. It’s a straightforward definition clue with no wordplay, just a cultural reference to a famous event.