Heres a list for EDI for 2016. Will be updated with any changes.
AS OF MARCH 2016
Swissport:
Air Canada Rouge
Air Europa
Air France (Hop!)
Alitalia
Atlantic Airways
Austrian Airlines
BH Air
Brussels Airlines
Czech Airlines (When/If they decide to return)
Delta Air Lines
Edelweiss Air
Flybe
Iberia Express
KLM Royal Dutch Airlines
Norwegian Air Shuttle (signed for a further 3 years)
Qatar Airways
Ryanair
Scandinavian Airlines
Thomson Airways (signed for a further 5 years)
Transavia France
Finnair
Menzies:
Easyjet
Etihad
Jet2 (Below wing Pax/Royal Mail Cargo)
British Airways
Loganair (Pax/Royal Mail Cargo)
Lufthansa
Germanwings
Eurowings
Turkish Airlines (rumoured to be leaving for Swissport)
DHL
Star Air (runs on behalf of UPS)
West Atlantic (Royal Mail Cargo)
TNT
Signature:
All biz/private flights (sub contracted out if large A/C)
MOD Charters (sub contracted out if large A/C)
Still
TBD:
Nordica
WOW Air
Transfer Baggage (No A/C handling involved):
Aviator