The visitors of Crete can arrive in the island by aeroplane in one of the two airports, in Chania and Heraklion (135 km far one from each other). During summer there are provided many direct flights from most European countries to both airports.
You can also fly to Athens or Thessaloniki and then take another flight with Aegean Airlines, Ryanair and Sky Express to Chania/Heraklion.
Ryanair, Easyjet, Aegean Airlines, Novair, Finnair, Primera Air, Norwegian Airlines, Jet time, Scandinavian Airlines (SAS), Danish Air transport, Airberlin have many direct flights to Chania airport (CHQ) and Heraklion airport (HER).
Chania airport is linked to Athens, Thessaloniki in north Greece, and Paphos in Cyprus all the year with Ryanair. The airport of Heraklion is also linked to Rhodes (all year long) and to Santorini, Mykonos and Paros during summer.
Flights from most European Countries
Ryanair: http://www.ryanair.com (Chania airport from Belgium (Brussels Charleroi), Cyprus (Paphos), Denmark (Billund), France (Marseille Provence), Germany (Bremen, Dusseldorf Weeze, Frankfurt Hahn, Memmingen-Munich West), Greece (Athens, Thessaloniki), Ireland (Dublin), Italy (Bologna, Milan Bergamo, Pisa, Rome Ciampino, Venice Treviso), Lithuania (Vilnius), Netherlands (Eindhoven), Norway (Oslo Rygge), Poland (Katowice, Warsaw Modlin, Wroclaw), Sweden (Stockholm Skavsta), UK (Bristol, East Midlands, Glasgow Prestwick, Leeds Bradford, London Stansted)
Easyjet: http://www.easyjet.com (Heraklion airport from Berlin Schoenefeld SXF, Bristol BRS, Edinburgh EDI, Geneva GVA, London Gatwick LGW, London Luton LTN, Manchester MAN, Milan Malpensa MXP, Paris Charles de Gaulle CDG, Rome Fiumicino FCO)
Aegean Airlines: http://www.aegeanair.com (Heraklion airport from Berlin, Bordeaux, Brussels, Dnipropetrovsk, Donetsk, Dusseldorf, Franfurt, Hamburg, Kiev, Larnaca, Lyon, Marseille, Moscow, Munich, Paris, St. Petersburgh, Vienna, Zurich).
Skyscanner: https://www.skyscanner.com
From Scandinavian Countries
Norwegian: http://www.norwegian.no
Novair: http://www.novair.no
FlySas: http://www.flysas.com (Chania and Heraklion from Copenhagen)
Finnair: http://www.finnair.com (Chania airport)
Ryanair: http://www.ryanair.com (Chania airport from Billund, Eindhoven, Oslo Rygge, Stockholm Skavsta)
From Russia
Aegean Airlines: http://www.aegeanair.com (Heraklion from Moscow and Saint Petersburgh)
From France
Ryanair: http://www.ryanair.com (Chania airport from Marseille Provence)
Easyjet: http://www.easyjet.com (Heraklion airport from Paris Charles de Gaulle CDG)
From England
Ryanair: http://www.ryanair.com (Chania airport from Bristol, East Midlands, Glasgow Prestwick, Leeds Bradford, London Stansted)
Easyjet: http://www.easyjet.com (Heraklion airport from Bristol BRS, Edinburgh EDI, London Gatwick LGW, London Luton LTN, Manchester MAN)
CheapFlights: http://www.cheapflights.co.uk
Cheap-Flights: http://www.cheap-flight-only-deals.co.uk
Just the Flight: http://www.justtheflight.co.uk
Freedom Flights: http://www.freedomflights.co.uk
Avro: http://www.avro.co.uk (Chania airport)
Charter Flight Centre : http://www.charterflights.co.uk (Heraklion airport)
From Germany
Ryanair: http://www.ryanair.com (Chania airport from Bremen, Dusseldorf Weeze, Frankfurt Hahn, Memmingen-Munich West)
Air Berlin: http://www.airberlin.com
Condor: http://www.condor.de
German Wings: http://www.germanwings.com
Ltu: http://www.ltu.de
Lufthansa: http://www.lufthansa.de
From Italy
Ryanair: http://www.ryanair.com (Chania airport from Bologna, Milan Bergamo, Pisa, Rome Ciampino, Venice Treviso)
Easyjet: http://www.easyjet.com (Heraklion airport from Milan Malpensa MXP, Rome Fiumicino FCO)
Olympic Airways Italy: http://www.olympic-airways.it
From Israel
Arkia: http://www.arkia.com (Heraklion airport)
From Luxemburg
Luxair: http://www.luxair.lu (Heraklion airport)
From Hungary and Poland
Wizzair: http://wizzair.com
From Czech Republic
Smartwings: http://www.smartwings.net
From Athens
Aegean Airlines: http://www.aegeanair.com
Ryanair: http://www.ryanair.com
Sky Express: http://www.skyexpress.gr