No, galaxies come in a variety of shapes. While there are some general classifications, there's a lot of diversity within each category and even galaxies that defy easy classification.

Here are some common galaxy shapes:

* Spiral Galaxies: These are the most common type. They have a flat, rotating disk with spiral arms that extend from a central bulge. Our Milky Way is a spiral galaxy.

* Barred Spiral Galaxies: Similar to spiral galaxies, but with a bar-shaped structure in their center.

* Elliptical Galaxies: These are smooth, oval-shaped galaxies with little to no structure. They tend to have older, redder stars.

* Lenticular Galaxies: These are disk-shaped galaxies, but without prominent spiral arms. They fall somewhere between spirals and ellipticals.

* Irregular Galaxies: These don't fit into the other categories. They often have distorted shapes and lack clear structure, possibly due to gravitational interactions with other galaxies.

It's important to remember that these are just broad categories. Within each type, there's a huge variation in size, brightness, composition, and other features. Plus, there are galaxies that are truly unique and don't fit neatly into any classification.

The study of galaxy morphology (shapes) is an active area of research, and astronomers are constantly learning more about the diversity and evolution of galaxies.