There are several custom-made katana swords and manufacturers on the market, most of which are replicas. Custom swords can also be of slightly different design than your standard samurai katana. As for unique swords, there are plenty of manufacturers where you can order a sword to be made to your own specifications and requests, however be prepared to pay close to $1,000 or much more for a high-quality unique sword.
Below I selected a few swords that are very cheap and some of them don’t look like your standard katana. Personally I prefer to get classic swords, but if you’re looking for something slightly different this should be a good start.