I'm looking for recommendations for budget airlines from Cardiff to Madrid, or if necessary, from London to Madrid. I need the same advice on cheap flights from Madrid to Los Alcazares or nearby. All suggestions are appreciated. Thanks!
I'm not positive whether they fly to/from the locations you mention, or what their prices or exact schedules might be, but Vueling Air would be the first discount airline I'd check for flying to/from/within Spain. We flew Vueling from Bilbao to Barcelona 2 years ago with success.
There is a good answer in your other question
Los Alcazares is by Murcia San Javier Airport. The next nearest airport is Alicante. Both of these airports have direct flights from UK.
Vueling fly from Cardiff to Alicante. Easyjet fly from Bristol to Murcia & Alicante as well as Madrid.
The easiest way for you to find flights is to go on www.skyscanner.net & click forward to the month of travel. Then tick the boxes to show WHOLE MONTH. This will throw up the days of the flights & estimated prices if you were to book* now. It will also show you the airlines. * I would do this direct on the airlines sites. (Beware of baggage in hold charges).
If you are in Cardiff & wish to get to Bristol Airport, you can buy a through ticket for train journey from Cardiff Central to Bristol Airport with train from Cardiff to Bristol Temple Meads (main station) = 1 hour & then 25minute bus link to the Airport. (This way is more frequent than buses from Cardiff to Bristol Airport). www.nationalrail.co.uk
Not sure about getting from the Spanish coast to Madrid but you may wish to find out about rail travel in Spain. Read this for advice > http://www.seat61.com/Spain.htm#.VkGfm-nTCiZ