For sheer volume of international flights, LAX
definitely beats out San Francisco. LAX
has several overseas carriers that SFO
does not - Alitalia, Swiss, Aer Lingus, Air Tahiti Nui, Qantas, Air Pacific, Malaysia Airlines, Thai, China Eastern, China Southern, Varig, Avianca, LAN, Aero California and many more all serve Los Angeles.
's fortunes have been on the upswing lately, though - Air New Zealand recently started service, Cathay Pacific and Singapore Airlines restarted flights in the last two years and both Vietnam Airlines and Emirates are rumored to be favoring SFO
for their first West Coast flights.
United has also scaled back much of its LAX
-Asia flying since 9/11, and hasn't restarted many former routes. They've been steadily rebuilding their SFO
-Asia operations though, and now serve (correct me if I'm wrong) Tokyo, Osaka, Seoul, Beijing, Shanghai, Hong Kong and Taipei, with Nagoya coming soon.