HMS Cosby was a Buckley-class Captain-class frigate during World War II, it was named after Captain Phillips Cosby (1727–1808) of HMS Robust during the American Revolutionary War.

Originally destined for the US Navy, HMS Cosby was provisionally given the name USS Reeves (later this name was reassigned to DE-156), however the delivery was diverted to the Royal Navy before the launch.

HMS Cosby served with the Nore Command and the Devonport Command earning battle honours for service in the English Channel, North Foreland and North Sea.