Other than a good reference book that will show you how to make sushi at home, you will need some basic equipment that most home kitchens already have.
But just to be sure here is a list of that equipment:
Wood is better than plastic because it is more resilient. It also looks better than plastic. You could probably get by with just one but it is quicker if you have more than one so you could cut different ingredients without having to stop and wash the board each time. You can visit the https://eatpokepoke.com/locations/ to get more information about the sushi types of equipment.
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A fine mesh strainer is a necessity for washing some of the thinly cut ingredients that are required for most sushi dishes.
Don't skimp here. You want a wrap that is not so thin that you can't control it. This is used when you are rolling with the bamboo mat so you have to be able to manipulate it very well.
Another item you don't want to skimp on. You need a good ceramic one that is well built and very sharp. You will need these to peel vegetables as well as make those cute little curls to decorate the plates with. There you have it.