HMS Aurora (1766) was a 32-gun fifth rate launched in 1766, sailed September 1769 for East Indies, lost without a trace, presumably from fire or storm, in the Indian Ocean in January 1770.
HMS Aurore (1793) was a French Navy 32-gun frigate handed over to the British at the capture of Toulon in 1793. She became a prison ship in 1799, and was broken up in 1803.