Discover a Taste of Cuba, Handcrafted Fresh Daily On Our Premises. At Tina’s Cuban, we believe that great cooking starts with a simple philosophy: slow cooking served fast and fresh. We use the most natural ingredients that are always freshly prepared. Our authentic Cuban Cuisine is well known in New York, as being some of the fastest and most delicious in the city. We take pride in perfecting each dish, so every meal is a culinary delight.