Yes, there are many types of single-edged swords. Single-edged swords have a blade that is sharpened on one side, while the other side typically has a flat or slightly curved spine. They are found in various cultures and historical periods, each with its own design and name. Here are a few examples of single-edged swords:

1. Katana: The katana is a traditional Japanese sword with a curved, single-edged blade. It is known for its distinctive appearance and its importance in Japanese culture. The katana is typically used with a two-handed grip and is associated with the samurai warriors.
2. Sabre: The sabre is a type of sword with a curved blade, primarily used by cavalry in Europe and other parts of the world. It has a single cutting edge and is often associated with military use. Sabres vary in design, with different countries and time periods having their own variations.
3. Scimitar: The scimitar is a curved, single-edged sword commonly associated with the Middle East and North Africa. It has a distinctive shape with a forward-curving blade and a sharp cutting edge. Scimitars were historically used by various cultures, including the Ottomans and Persians.
4. Khopesh: The khopesh is an ancient Egyptian sword with a curved blade that sweeps forward. It has a single cutting edge and a hooked shape near the tip. The khopesh was used by Egyptian warriors and is often associated with ceremonial or symbolic purposes.
5. Machete: While not strictly a sword in the traditional sense, the machete is a type of large, single-edged blade used for cutting vegetation, agricultural work, and sometimes as a weapon. It is commonly found in various regions around the world, particularly in tropical and subtropical areas.

These are just a few examples of single-edged swords, and there are many more variations and designs found throughout history and across different cultures.