In addition to a good reference book that will show you how to make sushi at home, you will need some basic tools that most home kitchens already have. But just to make sure here is a list of equipment:

Cutting board: Wood is better than plastic because it is more resilient and less likely to dull your knife. It also looks better than plastic. You might be able to survive with just one, but it's faster if you have more than one so you can cut different materials without having to stop and wash the board every time. You can visit to get the delicious sushi recipes online.

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Filter: A fine-mesh sieve is a must to wash some thin cut the necessary ingredients for most dishes, sushi.

Grater: You also need one such fine. There are several sushis that require finely grated ingredients for appearance as well as taste. 

Measuring Cups and Spoons: Accuracy is king in this recipe. A dash too much or too little can change the whole complexity of sushi that you create. Make sure the measurement tools and have many gradations to them.

Nonstick skillet: Some sushi requires cooking. You do not want to have to use any oils when cooking these materials. 

Plastic wrap: Do not skimp here. You want to wrap that is not so thin that you cannot control it. It is used when you rolled with bamboo mats so you should be able to manipulate it very well.