This information came from Wikipedia and maybe out of date as routes change so frequently.
Aegean Airlines Seasonal charter: Heraklion International Airport
Aer Lingus Dublin
Seasonal charter: London-Gatwick
Aigle Azur Algiers, Béjaïa, Constantine, Oran, Sétif
Seasonal: Funchal, Tlemcen
Air Algérie Algiers, Annaba, Batna, Biskra, Constantine, Oran, Sétif, Tlemcen
Air Arabia Maroc Casablanca
Air Austral Saint-Denis de la Réunion
Air France Amsterdam [ends 2 September 2012], Bordeaux, Nice, Paris-Charles de Gaulle, Toulouse, Tunis
Air France operated by Air Corsica Ajaccio, Bastia
Seasonal: Figari
Air France operated by Airlinair Clermont-Ferrand, Florence, Limoges, Marseille, Milan-Malpensa, Montpellier, Paris-Orly, Pau, Stuttgart, Toulouse
Air France operated by Brit Air Barcelona, Brest, Budapest, Caen, Düsseldorf, Lille, Nantes, Nice, Prague, Rennes, Rome-Fiumicino, Strasbourg
Seasonal: Bastia
Air France operated by Régional Amsterdam, Basel/Mulhouse, Biarritz, Bologna, Brussels, Clermont-Ferrand, Gothenburg-Landvetter [begins 17 September 2012], Lorient, Metz/Nancy, Milan-Malpensa, Pau, Stuttgart, Venice-Marco Polo
Seasonal: Naples, Southampton
Air Malta Seasonal: Malta
Air Méditerranée Seasonal: Agadir, Athens, Bodrum, Chlef, Corfu, Dakar, Djerba, Fuerteventura, Heraklion, Ibiza, Jijel, Malaga, Marrakech, Monastir, Palma de Mallorca, Tenerife-South
Air Transat Seasonal: Montreal-Trudeau
Airlinair La Rochelle, Poitiers
Armavia Seasonal: Yerevan
Austrian Airlines operated by Tyrolean Airways Vienna
BMI Regional Manchester
British Airways London-Heathrow
Brussels Airlines Brussels
Brussels Airlines operated by Flybe Brussels
Camair-Co Douala, Yaoundé
Chalair Aviation Le Havre
Croatia Airlines Seasonal: Split
EasyJet Agadir, Barcelona, Berlin-Schönefeld [ends 16 March 2013], Berlin-Brandenburg [begins 17 March 2013], Bordeaux, Brest, Brussels, Casablanca, Edinburgh, Lisbon, London-Gatwick, London-Stansted, Madrid, Marrakech, Milan-Malpensa, Nantes, Nice, Pisa, Porto, Prague, Rome-Fiumicino, Toulouse, Venice-Marco Polo
Seasonal: Ajaccio, Bastia, Biarritz, Bristol, Ibiza, Olbia, Palermo
Emirates Dubai [begins 5 December 2012
Hex'Air Castres, Rodez
Iberia operated by Air Nostrum Madrid
Seasonal: Palma de Mallorca
Jetairfly Agadir, Casablanca, Marrakech
KLM operated by KLM Cityhopper Amsterdam [begins 3 September 2012]
Lufthansa Berlin-Tegel [ends 16 March 2013], Berlin-Brandenburg [begins 17 March 2013], Düsseldorf, Frankfurt
Lufthansa Regional operated by Eurowings Düsseldorf
Lufthansa Regional operated by Lufthansa CityLine Düsseldorf, Munich
Onur Air Seasonal: Izmir
Royal Air Maroc Casablanca, Marrakech
Scandinavian Airlines Copenhagen
Scandinavian Airlines operated by Cimber Air Copenhagen
Swiss International Air Lines operated by Helvetic Airways Zürich
Swiss operated by Swiss European Air Lines Zürich
Syphax Airlines Sfax
TAP Portugal Lisbon
TAP operated by Portugália Lisbon
TAROM Bucharest-Henri Coanda
Transaero Airlines Moscow-Domodedovo
Transavia.com France Djerba, Monastir
Seasonal: Heraklion
Tunisair Djerba, Monastir, Tunis, Tozeur
Turkish Airlines Istanbul-Atatürk
Vueling Barcelona, Palma de Mallorca
WOW air Reykjavik-Keflavik
XL Airways France Seasonal: Catania, Punta Cana
Flights, airlines to and from Lyon Airport