Mozzarella is a favorite cheese for home cheese makers. This video uses purchased mozzarella curds. See other recipes if you want to make yours from scratch.
Vegan cheese contains no dairy products. This is a good demonstration on how to make this vegetarian un-cheese.
Ricotta Cheese is another good cheese for the beginning cheese maker.
A very versatile cheese uses milk, lemon juice and water. Paneer is very versatile and is used as a side dish, main dish and even in dessert recipes.
Learn how to make ricotta cheese from this video. Ricotta is actually an easy cheese to make at home using only a few ingredients.