HMS Lively (1713) was a 20-gun sixth rate launched in 1713. She was broken up in 1738 and rebuilt as the next HMS Lively.
HMS Lively (1740) was a 20-gun sixth rate launched in 1740 and sold in 1750.
HMS Lively (1756) was a 20-gun sixth rate launched in 1756. She was captured by the French in 1778, but was recaptured in 1781, and was sold 1784.
HMS Lively (1779) was a 14-gun brig-sloop purchased on the stocks and launched in 1779. She was seized by Americans she had taken prisoner in 1782 and was handed over to the Spanish at Havana.