Jacques-Louis David was the leader of the Neo-Classical movement in France. The earliest Neoclassical painters were Joseph Marie Vien, Anton Raphael Mengs, Pompeo Batoni, Angelica Kauffmann, and Gavin Hamilton. Jean-Aguste Dominique Ingres (1780-1867) was also a Neo-Classical painter.
By the early 1790s painters began to emulate the flat, silhouetted figures of Greek vase painting. The foremost exponent of this style was the English painter John Flaxman, whose simple line engravings for editions (1793) of Homer's Iliad and Odyssey completely replaced traditional perspective, lighting, and modelling with flat linear design. The style was immensely successful and widely imitated. One of David's most successful pupils, and the inheritor of his role as leading interpreter of the classical tradition, was Jean Auguste Dominique Ingres. Neo-Classical Style
Artists deliberately turned away from the dramatic movement and opulence of the Baroque style and aspired to calm expression and clarity of outline. Subjects from history and literature were particularly popular in the era of Neoclassicism and so history painting enjoyed the greatest prestige. 
The Coronation of Napoleon in Notre Dame