This information came from Wikipedia and maybe out of date as routes change so frequently.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