Are there more galaxies?

Yes. In fact, there are billions of galaxies, with billions of stars in each. Staggering to think about, huh?

Spiral Galaxies
Spiral galaxies usually consist of two major components: A flat, large disk which often contains a lot of interstellar matter and an ellipsoidally formed bulge component, consisting of an old stellar population without interstellar matter.Our sun is one of several 100 billion stars in a spiral galaxy, the Milky Way.
Lenticular Galaxies
These are, in short, "spiral galaxies without spiral structure", i.e. smooth disk galaxies, where stellar formation has stopped long ago, because the interstellar matter was used up.
Elliptical Galaxies
Elliptical galaxies are actually of ellipsoidal shape, and it is now quite safe from observation that they are usually triaxial (cosmic footballs, as Paul Murdin, David Allen, and David Malin put it). They have little or no global angular momentum, i.e. do not rotate as a whole (of course, the stars still orbit the centers of these galaxies, but the orbits are statistically oriented so that only little net orbital angular momentum sums up). Normally, elliptical galaxies contain very little or no interstellar matter. They appear like luminous bulges of spirals, without a disk component.
Irregular Galaxies
Often due to distortion by the gravitation of their intergalactic neighbors, these galaxies do not fit well into the scheme of disks and ellipsoids, but exhibit peculiar shapes. A subclass of distorted disks is however frequently occuring. Galaxies of all types, though of a wide variety of shapes and appearances, have many basic common features. They are huge agglomerations of stars like our Sun, counting several millions to several trillions. Most of the stars are not lonely in space like our Sun, but occur in pairs (binaries) or multiple systems.