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.
Ricotta Cheese is another good cheese for the beginning cheese maker.
A rather comical but informative video showing to make a simple fresh goat cheese at home.
Labneh is a Middle Eastern Yogurt Cheese. This is easy to make at home with store-purchased yogurt. Labneh is served with a good quality olive oil and Zaatar herb mixture