Neoclassicism paintings have quite a few of these mentioned characteristics. They are often rational, geometric, have an organized composition (IE everything in the piece has a purpose), and center on the subjects, instead of the background or the foreground. The subjects in these paintings and sculptures are often patriotic as well. There are a lot of famous pieces by neoclassicist artists, and include the painting “Napoleon I on His Imperial Throne” by Jean-Auguste-Dominique Ingres and the sculpture “Theseus and the Minotaur” by Antonio Canova.
It typically draws the inspiration from classic Greek or Roman art. Many of the artists looked to famous ancient Greek and Roman pieces for inspiration, instead of doing something new. These principles come from the ancient world, and the fact that they have survived means that they are worth studying.