Under Captain Edward Jekyll, Rippon took part in the unsuccessful attack on Martinique in January 1759.^[2] While patrolling off Brest on 10 March 1761, Rippon chased and engaged the French ship of the line Achille, suffering heavy losses when a gun exploded during the action. This allowed Achille to pull away and the French ship subsequently escaped.

Early on the morning of 10 August 1778, Sir Edward Vernon's squadron, consisting of Rippon (Vernon's flagship), Coventry, Seahorse, Cormorant, and the East India Company's ship Valentine, encountered a French squadron under Admiral François l'Ollivier de Tronjoly which consisted of the 64-gun ship of the line Brillant, the frigate Pourvoyeuse and three smaller ships, Sartine, Lawriston, and Brisson. An inconclusive action followed for about two hours in mid-afternoon. The French broke off the action and the British vessels were too damaged to be able to catch them up again. In the action the British suffered 11 men killed and 53 wounded, including four men killed and 15 wounded aboard Rippon.^[3]

Seahorse captured Sartine on 25 August 1778. Sartine had been patrolling off Pondichery with Pourvoyeuse when they sighted two East Indiamen, which were sailing blithely along, unaware of the outbreak of war. The French vessels gave chase lazily. Sartine's captain, Count du Chaillar, first had to be roused from his bed ashore. The British merchant vessels escaped, but Sartine came too close to Vernon's squadron. He sent Coventry and Seahorse after her and she surrendered after a short action. A French account remarks acidly that she surrendered to a frigate of her own size without a fight.^[4] All four Royal Navy vessels in Vernon's squadron shared in the prize money.^[5] (Vernon had already sent Valentine off with dispatches.) The Royal Navy took Sartine into service as the fifth-rate frigate HMS Sartine.

Rippon was placed on harbour service in 1801, and was eventually broken up in 1808.^[1]