To make Italian-style cappuccino at home, fill the bottom of a stove top brewer with water, add ground coffee to the filter, place the top on, and heat it on medium. Remove from the heat when the top of the brewer is full. While the coffee is brewing, heat the milk in a small saucepan until it is nearly boiling. Pour the coffee into the cups, and add hot milk. Make milk froth using a frother and top the coffee.
Alternatively, make espresso using a Nespresso machine or a Bialetti Moka. Heat up 1/2 cup of milk in a microwave (the time required depends on your microwave, but usually about 40-60 seconds) or on a stove top. Use a whisk to make a thick froth, which may take several minutes. To make the foam look creamier, swirl the glass in a circle, and tap it on the counter. This will help to pop the bigger bubbles, so the foam will look more like a real cappuccino. Pour the milk into the espresso, since it is better if the foam comes out before the rest of the milk.
A classic cappuccino is 1/3 espresso, 1/3 steamed milk and 1/3 foam. You can alternate the recipe by adding flavored syrups and chocolate or vanilla milk to the drink.