You can book a flight online from http://www.flightsdirect.com. From this site you can find the flights of airline companies such : Emirates, Continental , Delta , Air France, Us airways, Klm, Singapore Airlines, Thai, Malaysian, Qantas,  British Airways, Ethiad, Qatar, Virgin Atlantic, Lufthansa,  Aer Lingus. For Turkey browse http://www.thy.com to learn the flights to Istanbul, Antalya, Bodrum, izmir, Ankara.

The list for direct flights and airports :

Africa
Cape Town
Durban
Johannesburg

Asia
China : Beijing, Hong Kong
India : Bombay, Delhi
Japan : Tokyo
Singapore

Australasia
Australia :  Adelaide,  Brisbane,  Cairns,  Darwin,  Melbourne, Perth,  Sydney
New Zealand :  Auckland,  Christchurch
Canada :  Calgary, Halifax, Montreal,  Ottawa,  Quebec,  Toronto,  Vancouver
Caribbean
Cuba :  Havana, St Lucia,  Barbados

Europe
Austria :  Vienna
Belgium : Brussels
Bulgaria : Sofia
Cyprus :  Paphos , Larnaca, Limassol
Czech Republic : Prague
Denmark :  Copenhagen
Finland : Helsinki
France : Bordeaux,  Lyon,  Nice,  Paris,  Strasbourg,  Toulouse
Germany :  Frankfurt,  Hamburg,  Stuttgart
Greece :  Athens,  Corfu,  Kalamata, Kos,  Rhodes,  Samos,  Santorini, Thessaloniki,  Zante,  Zakinthos
Holland : Amsterdam
Hungary : Budapest
Italy : Florence, Milan, Naples,  Pisa, Rome,  Venice,  Verona
Portugal :  Faro,  Funchal, Lisbon
Spain :  Alicante, Almeria,  Barcelona, Benidorm , Benalmadena, Costa Almeria,  Costa Dorada, Fuerteventura, Gerona,  Granada,  Gran Canaria, Ibiza,  Lanzarote, Las Palmas,  Madrid, Malaga, Majorca, Menorca, Marbella, Nerja, Palma Mallorca, Seville, Salou, Tenerife, Playa de Las Americas, Valencia
Sweden :  Stockholm
Switzerland :  Zurich
Tunisia : Monastir
Turkey :  Bodrum, Istanbul
Indian Ocean
Mauritius

South America
Chile : Santiago                                                                                                                     

Middle East : Dubai , Luxor, Sharm El Sheikh,  Cairo
United Arab Emirates : Abu Dhabi
USA (United States Of America) :  Albuquerque,  Atlanta,  Boston, Chicago, Dallas, Detroit, Honolulu, Houston,  Las Vegas, Los Angeles, Memphis, Miami, New Orleans, New York, Orlando, Palm Springs, Philadelphia, Phoenix, San Diego, San Fransisco,  San Jose, Seattle, Tampa, Tucson,  Washington, West Palm Beach