French Warships in the Age of Sail is part of a larger series that covers the other major maritime powers. The Russian volume in particular is very good:

British Warships in the Age of Sail, 1603–1714: Design, Construction, Careers and Fates - Rif Winfield

British Warships in the Age of Sail, 1714–1792: Design, Construction, Careers and Fates - Rif Winfield

British Warships in the Age of Sail, 1793–1817: Design, Construction, Careers and Fates - Rif Winfield

British Warships in the Age of Sail, 1817–1863: Design, Construction, Careers and Fates - Rif Winfield

French Warships in the Age of Sail, 1626–1786: Design, Construction, Careers and Fates - Rif Winfield

French Warships in the Age of Sail, 1786–1861: Design, Construction, Careers and Fates - Rif WInfield and Stephen S Roberts

Russian Warships in the Age of Sail, 1696-1860: Design, Construction, Careers and Fates - Eduard Sozaev and John Tredrea

Dutch Warships in the Age of Sail 1600 - 1714 by James Bender

There is also a Spanish volume being prepared.

The Three Decks website is also very good for ship lists, especially for smaller powers. The sources list is also worth a look.

Stephen S. Roberts, the author of the French volumes also has a website for the post-Napoleonic French navy

Other books I'd recommend:

The Sail and Steam Navy List: All the Ships of the Royal Navy 1815–1889 by Rif Winfield and David Lyon covers later steam powered vessels as well

First Rate: The Greatest Warship of the Age of Sail by Rif Winfield covers the development of First Rate ships in the English/British navy

The Ship of the Line: A History in Ship Models by Brian Lavery and The Sailing Frigate: A History in Ship Models by Robert Gardiner are good to trace the technological development of ships during the period

Warships of the Napoleonic Era: Design, Development and Deployment by Robert Gardiner covers ship development of the major European powers and the USA

Before the Ironclad: Warship Design and Development, 1815–1860 by David K Brown covers the technological developments from the end of the Napoleonic wars to the development of the Ironclad from a ship designers perspective

The Seventy-Four Gun Ship (4 Volumes) and the History of the French Frigate 1650-1850 both by Jean Boudriot are insanely detailed histories of the design and construction of French warships

Nelson's Navy: The Ships, Men and Organization, 1793-1815 by Brian Lavery gives a holistic overview of the Royal Navy during the period including types of ships.

The Ships of the Sun King by JC Lemineur covers Louis XIV's navy