In the aviation industry, a "major" is an airline that carries more than 10 million passengers or more than 10 billion RPK's in a one-year period. To become a major, an airline has to have a sizable fleet and a large route network. As of early 2002...

U.S. majors:
Alaska Airlines
American Airlines
American Eagle
American Trans Air
America West Airlines
Continental Airlines
Delta Air Lines
Northwest Airlines
Southwest Airlines
United Airlines
US Airways

North/South American majors:
Air Canada
Aeromexico
LanChile
Mexicana
TAM
Varig

European majors:
Aeroflot
Air Berlin
Airtours
Air 2000
Air France
Alitalia
Britannia
British Airways
Condor Airlines
Corsair
Finnair
Hapag-Lloyd Airways
Iberia
KLM
LTU
Lufthansa
SAS
Spanair
Swiss
TAP Air Portugal
Turkish Airlines
Virgin Atlantic

African/Asian majors:
Air China
Air-India
Air New Zealand
All Nippon Airways
Ansett Australia
Asiana Airlines
Cathay Pacific Airways
China Airlines
China Eastern Airlines
China Southern Airlines
El Al
Emirates
EVA Air
Garuda Indonesia Airways
Gulf Air
Japan Airlines
Japan Air System
Korean Air
Malaysia Airlines
Pakistan Airlines
Philippine Airlines
Qantas
Saudi Arabian Airways
Singapore Airlines
South African Airways
Thai International

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Gawd, this feels like a metanode now. Oh well.
Source: Air Transport World