HMS Perseverance was a 36-gun Perseverance-class frigate of the British Royal Navy. She served on the North American station until 1787, after which she returned to England, where she was refitted at Portsmouth. In 1789 Perseverance was sent to the East Indies; she returned to Portsmouth in 1793, when she was laid up before finishing her career there as a receiving ship. She was sold and broken up in May 1823.

HMS Phoenix was a 36-gun Perseverance-class fifth-rate frigate of the Royal Navy. The shipbuilder George Parsons built her at Bursledon and launched her on 15 July 1783. She served in the French Revolutionary and Napoleonic Wars and was instrumental in the events leading up to the battle of Trafalgar. Phoenix was involved in several single-ship actions, the most notable occurring on 10 August 1805 when she captured the French frigate Didon, which was more heavily armed than her. She was wrecked, without loss of life, off Smyrna in 1816.