Think Escape is a tour company that offers privatized limo and party bus services to the entire San Francisco area. It will pick you up in Oakland and take you to San Francisco to experience the city. It also offers priority entrance to some of the the city's most exclusive nightclubs.
Golden Horizon Travel offers a private SUV/van tour of San Francisco. It has complimentary pickup in the downtown San Francisco and Fisherman's Wharf areas, but will, for an additional fee, pick you up on Oakland. You can also order a charter bus if your group is large. The cost is $99 to $169 per person for an SUV (depending on the size of your party) or $94 to $129 for a van as of 2011. The tour covers Telegraph Hill, Alcatraz, Fisherman's Wharf, the Palace of Fine Arts, the Golden Gate Bridge, Pacific Heights, the Japanese Tea Garden (optional), Grace Cathedral, Lombard Street, North Beach/Washington Square, Coit Tower, Union Square, Chinatown, the Ferry Building, the Embarcadero, the Bay Bridge/Treasure Island, City Hall, Alamo Square and the "Painted Ladies," the Twin Peaks and Haight Ashbury.
Tours commonly depart from downtown San Francisco. If you like, you can take the BART (Bay Area Rapid Transit System) from Oakland to San Francisco and join one of the many tours there. You can also take the BART to the San Francisco Bay and take a ferry tour. Both bay and city tours depart from the Ferry Building (near the Embarcadero stop) with Comprehensive Shuttle Tours, which include stops to get out and walk. You can personalize your trip over to San Francisco on the BART website.
Extranomical Tours offers a pickup service near the bus stop of the West Oakland BART Station (1451 7th Street). It offers various tours, covering the highlights of the city. Some are primarily sightseeing, others are geared toward nightlife or museums, while others go to the Sausalito and Muir Woods areas as well as San Francisco. Prices are, on average, about $50 as of 2011.