Determining which sword is "better" than a katana depends on various factors, including personal preferences, intended use, and historical context. There are many exceptional swords from different cultures and time periods, each with their own unique qualities and purposes.

Some examples of swords that are considered equal or even superior to the katana, depending on specific criteria and applications, include:

1. European Longsword: The longsword is a versatile European sword with a double-edged blade and a grip long enough to be wielded with two hands. It offers excellent cutting and thrusting capabilities and was widely used by knights and martial artists during the medieval period.
2. Chinese Jian: The jian is a traditional Chinese double-edged straight sword with a history dating back thousands of years. It is known for its elegance, agility, and precision in both cutting and thrusting techniques.
3. Indian Khanda: The khanda is a sword from India with a wide, curved blade and a distinctive hilt design. It is renowned for its cutting power and versatility in both single and two-handed grips.
4. Japanese Tachi: The tachi is an older style of Japanese sword that predates the katana. It is longer and more curved than the katana and was historically used by samurai warriors on horseback. The tachi has its own unique characteristics and strengths.
5. Scandinavian Viking Sword: The Viking sword, also known as the "Ulfberht" sword, was a high-quality weapon used by Norse warriors during the Viking Age. It features a wide, double-edged blade and exhibits excellent craftsmanship.

It's important to note that the "superiority" of a sword depends on various factors, such as the specific design, craftsmanship, and intended use. Different swords excel in different aspects, and what may be considered better in one context might not necessarily be superior in another.

If you are interested in swords, it is recommended to research different types of swords, their historical significance, and their characteristics to determine which one aligns with your preferences and purposes. Consulting knowledgeable experts or experienced sword enthusiasts can also provide valuable insights and guidance in selecting a sword that suits your needs.

Always prioritize safety and familiarize yourself with the laws and regulations regarding sword ownership and usage in your jurisdiction.