Here is a list of ice rinks in the Bay Area:
DOWNTOWN ICE: Ice skating has returned to the Circle of the Palms next to the Fairmont Hotel, through Jan. 12. Hours vary from day to day. 120 Market St. 408-291-0525. http://sjdowntown.com/downtownice.
You can travel further for:
Marin on Ice (San Rafael)
Snoopy’s Home Ice (Indoors, Santa Rosa)
Embarcadero Holiday Ice Rink (San Francisco)
Winter Lodge (Indoors, Palo Alto)