Major airports near West Berkeley, California: The nearest major airport is Oakland International Airport (OAK / KOAK). This airport has international and domestic flights from Oakland, California and is 16 miles from the center of West Berkeley, CA.Another major airport is San Francisco International Airport (SFO / KSFO), which has international and domestic flights from San Francisco, California and is 24 miles from West Berkeley, CA.nternational airports near West Berkeley, CA. 16 miles: Oakland, CA (OAK / KOAK) Oakland International Airport. 24 miles: San Francisco, CA (SFO / KSFO) San Francisco International Airport. 47 miles: San Jose, CA (SJC / KSJC) Norman Y. Mineta San Jose International Airport.