San Francisco and Peninsula 
Father’s Day BikeAbout – This 90-minute bike tour will focus on what paternal care looks like in the animal kingdom. Enjoy a continental breakfast afterward. Sun., June 16. 8:30am. $45 per cyclist; child on piggyback FREE. San Francisco Zoo, Sloat Boulevard and Great Highway. 415-753-7080.   
Palo Alto World’s Day – Enjoy 50 amateur and professional music groups performing a variety of genres on street corners and plazas. Sun., June 16. 3-7:30pm. FREE. University Avenue. 
Stern Grove KickOff: Digable Planets and Bang Data – Digable Planets is a Grammy winning jazz-fusion group that gained fame with its 1993 hit “Rebirth of Slick (Cool Like Dat).” Bang Data is an Oakland genre-mixing group. KidStage with instrument exploration station and hip hop dance begins at 12pm. Concert is at 2pm. Series runs through Aug. 11. FREE lawn seating. 19th Avenue and Sloat Boulevard, San Francisco. 415-252-6252.
East Bay
Dad’s Free Day – Fathers will get into the Alameda County Fair free until 5pm and will enjoy special events along with an evening concert by Ramon Ayala. Sun., June 16. 11am-11pm. $12 in advance, $15 at the gate general; $10 in advance, $8 at the gate kids. 925-426-7600. 
Father’s Day Music With Joe Kady and Glenn Houston – Bring a picnic and the family. Sun., June 16. Gates open at 12pm. Show is 1-4pm. $25 per carload of up to six people. Chouinard Vineyards and Winery, 33853 Palomares Road, Castro Valley. 510-582-9900. 
Father’s Day Zoo – Dads receive one free train ride. Watch some of the resident animal dads. Sun., June 16. 10am-4pm. $24 adults, $20 children ages 2-14, under 2 FREE. Oakland Zoo, 9777 Golf Links Road. 510-632-9525. 
The Music of the Grateful Dead for Kids – The Rock and Roll Playhouse, a family concert series, allows kids to “move, play and sing while listening to works from the classic-rock canon” (New York Times). Sun., June 16. 11:30am-1:30pm. $17.50, under 1 FREE. The UC Theatre Taube Family Music Hall, 2036 University Ave., Berkeley.
Silicon Valley
Bernal Father’s Day Car Show – An annual family event where kids are encouraged to bring their own favorite toy car and display it proudly too. Sun., June 16. 10am-1pm. FREE. Bernal Church, 160 Bernal Road, San Jose. 
Hats Off to Dad & Brew Train – Celebrate Dad with a ride on a steam train and a barbecue lunch. Sun., June 16. 12pm. $23-29. Roaring Camp Railroads, 5401 Graham Hill Road, Felton.