I was born and raised in Los Angeles, where the oldest thing was San Fernando Mission back from 1797. *THE OLDEST*.
I think I can find buildings older than that just up the street from here...
Goodness, I rather assumed there would be some buildings from the 1600s in California (and possibly structures from pre-European civilisations) but apparently not! Not only do structures not come from then but there was no occupation by Europe in the 1600s really.... huh!
First Spanish/English explorers in California were mid to late 1500s, first Spanish buildings were just before 1700, but the Spanish didn't really get going until late 1700s. The indigenous Californians built mostly (entirely?) in wood, unlike stone/mound construction elsewhere in the Americas.