Flights
For cheap flights try these links. Remember that the low cost airlines are not always the cheapest! You can fly to Alicante, Valencia or Murcia
Bus
If you want to use local transport there is an express bus link from Alicante airport to Benidorm (then take a short hop on the local bus to Altea from Benidorm). Check the timetable at http://www.alsa.es/VentaParticulares/contenidoHorarios.jsp
Train
There is a train service which runs from Alicante to Denia and serves Altea. This is a private small gauge railway with an hourly service between Alicante and Altea and less frequent onward trains to Denia. http://www.fgvalicante.com
RENFE (Red Nacionale de los Ferrocarriles Españoles) is the national operator within Spain. See http://www.renfe.es for train times & fares. RENFE's UK agent who can book trains to and within Spain: http://www.spanish-rail.co.uk
Mundomarino
Trips via catamaran and boat from Altea to the islands or along the Costa Blanca coastline. http://www.mundomarino.es
The Palau Altea Centre d'Art
Altea has an new arts centre with an excellent programme of music, dance and theatre productions. Well worth checking out and not expensive.(sorry this site is only in Spanish but it will give you a good feel for the type of work being performed) http://www.palaualtea.com/
Museo de las Ciencias Principe Felipe, Valencia
This is a stunning new museum and oceanographic centre in Valencia. Spectacular buildings and exhibitions including an Imax cinema. Well worth a visit but allow a whole day to see everything! http://www.cac.es/