Avocados do well here, in part because they are such thirsty trees, and the moderating influence of the Bay keeps the winter temperatures from dropping too low.
No special cultivars are needed. I have a large Haas tree, which tends to bear alternate years. Also a "Bacon" which bears more evenly. I have a Pinkerton that has been doing badly in a 5 gallon container for years. I should really give it a bigger container or plant it but I've run out of land in the backyard for another big tree. I gave away the "Minicado" I had in a planter - it was growing sideways and only gave one or two avocados every couple of years. I needed the space in the paved courtyard.
Young trees can get frost bit in cold winters here, but they survive. The Minicado got the most damage from strong sunlight on hot summer days, which burned the top branches (which were mostly horizontal).
The biggest problem I've had in recent years is that the local robins discovered they can cause fruit to fall by pecking at it on the tree. Then it falls to the ground and isn't in the greatest of shape, even though it can be collected and ripened. And of course the squirrels go after them as well. The robins and squirrels also do a number on the figs and grapes. They do leave the citrus alone (yes, I grow oranges, lemons, and limes here as well).
I stumped back the Bacon a few years back but it's recovered all its height and then some. The fruit is good for salads - not heavy and as oily as the Haas; it has a lighter taste and a firmer texture that does better in a tossed salad. It also acts as an extra pollinator for the Haas, although I understand that in this climate the A/B flower thing isn't as important as it is in warmer climates, because the flowers get confused by the more variable temps here and tend to pollinate their tree mates. (I won't bore you with a discussion of the time- and-temperature-dependent hermaphrodite nature of the avocado).