You can't get a much better location than this. It's at the bottom of the Alhambra hill where the minibuses leave for the Albayzín and the Alhambra itself. The outdoor terrace offers great views of the surrounding historic buildings - Real Chancillería (High Court), Iglesia de San Gil y Santa Ana church and Alcazaba de la Alhambra fortress. The interior is decorated like a traditional old Castilian tavern. House specialities include an extensive menu of snack-size montaditos (canapés), larger raciones (bigger portions of tapas) and carnes a la piedra (succulent meats cooked on a ceramic hot plate).
Come to the Kasbah just off Calle Elvira for their sticky Arab-style homemade cakes and sweets. They're great as a special treat for yourself or to impress your friends with after a dinner party. Although they are often sickly sweet, the ingredients are normally pretty nutritious, with lots of eggs, fruit, nuts and spices. Do not forget to try the traditional bubbakia, cuernos de gacela and briwat.
An intimate place with dim ambient lighting and cosy vibes, Al Sur de Granada is a tapas bar and also a grocery. They have a wide range of Spanish wines and beers to choose from, and tapas (snacks and appetizers) to pair with the liquids. After you're done with the binging, you can choose some local products, from their shelves and cellars, to take home. They sell really nice craft beer and wine (they serve from the same range, so you could pick the one you really loved drinking), local cheeses and embutidos (sausage), hams, honey, jams, olive oil, sweetmeat and honey. Al Sur de Granada can be tried for a taste of authentic Andalusian food and drinks.