Most visitors make for Granada and the Alhambra Palace which is stunning but please be aware that as this has been listed in the past for the revised Wonders of the World, bookings are almost certainly required www.alhambratickets.com Agents speak most EU languages.
Cordoba is well worth a visit for its mighty Mezquita Cathedral and Mosque. To the West of the City you will also find Alcazar Gardens and the Medina Azahara; all approx one and a half hours away. Seville is approximately two hours away and is the cultural heart of Andalucia, with its imposing Cathedral, Giralda Tower, Real Alcazar and Plaza de Espana and also the 'La Isla Magica' theme park, with many of white knuckle rides for kids of all ages.
Málaga is about an hour away with the old Moorish Fortress known as the Alcazaba where you can walk the ramparts and view the walled gardens. The Picasso Museum is also a must for all art lovers www.museupicasso.bcn.es