Air France is the third biggest worldwide airline. Air France offers more than 35 daily scheduled flights out of the UK, serving 8 airports, which are Manchester, Heathrow, Gatwick, Newcastle, Glasgow, Birmingham, Southampton and London City Airport. Air France will almost certainly fly to any of your places of interest.
http://www.airfrance.co.uk

Thomsonfly’s aircraft are operated by Britannia. Britannia is one of the largest holiday airlines in the world, operating over thirty modern Boeing aircraft from around twenty UK airports to 96 destinations in 37 countries. Departures from Coventry to 11 European cities.
http://www.thomsonfly.com

Over the past ten years we've increased our annual traffic from under 700,000 to over 15 million passengers. Low Fares and friendly, efficient service – that’s our way. And how do we do it?. Superb cost management.
http://www.ryanair.com

British Airways is the UK's largest international scheduled airline, flying to over 550 destinations at convenient times, to the best located airports. A full service global airline, offering year-round low fares and an extensive global route network operating from centrally located airports.
http://www.britishairways.com

easyJet offers 151 routes to 44 key business and leisure airports in Europe. great value fares. Great value fares are achieved by keeping costs to a minimum by cutting out unneccessary "frills", selling direct to passengers, and using less congested and less expensive airports.
http://www.easyjet.co.uk