There are four main types of galaxies: spiral, elliptical, irregular, and the Milky Way galaxy. Spiral galaxies have glowing arms that rotate around a center and contain both large and small stars. Elliptical galaxies are spherical or ovoid shapes with older, redder stars. Irregular galaxies do not have defined shapes and may have formed through galactic collisions. The Milky Way galaxy is a spiral galaxy that contains our solar system.