I grew up in Oakland. While it's not as touristy as SF, there are some cool places in Oakland/East Bay:
1) Oakland Temple
2) In the hills above the Oakland temple there some cool trails and a mini redwood forest. Park is called Joaquin Miller park.
3) If you're up for more of a hike there is Mt. Diablo which is just east of Moraga. On a clear day you can see Half Dome in Yosemite from the top.
4) Just north of Oakland is Berkeley (the two cities bleed into each other). College Ave in Berkeley, up by Cal is a fun area to walk around. There are great, underrated restaurants all along the street. Take your pick.
5) Right on the border of Oakland and Berkeley is a great pizza joint called Zachary's. It's routinely voted the best pizza in the Bay Area. Order the spinach and pepperoni. It's deep dish style and arguably the best pizza you'll ever eat.
6) In the hills of Berkeley is the Lawerence Hall of Science. It's a fun science/museum of sorts. If you aren't into that sort of thing, the view is worth the drive.
7) There are some cool art museums in downtown Oakland if you're into that.
8 ) In Emeryville (nestled between Oakland and Berkeley) is Pixar. I've never done it, but I hear there is a really cool tour there of the studios.
9) If Italian food is your thing there is a great place on Piedmont Ave called La Coco's. It's great! No reservations, so get there early and be prepared to wait outside for 15/20 minutes. Afterwards, just down the street a couple blocks is a gelato joint...or at least there used to be.
10) Speaking of Piedmont, if you enjoy just driving around fancy neighborhoods and looking at insanely expensive homes, that's the neighborhood to do it in.
11) If you can get tickets and they are in town, the Warriors are fun to watch.
12) There's the Oakland Zoo, which as far a zoo's go is actually petty nice. I like it way better than the SF zoo.
Hope this helps. Enjoy the game. Get to SMC early as there is limited parking.
P.S. I lived in the East Bay for 30+ years and was never murdered or robbed or assaulted.