From what I can find online, it seems to be fairly common in California too, at least in the larger cities, though some require you to call to schedule a pickup rather than it being a regularly scheduled day. Usually googling for "[city] bulky item pickup" will find the info, if it exists.

For example, here are the pages for Los Angeles, San Francisco, Santa Cruz, and San Jose, which all offer the service free of charge: https://www.lacity.org/for-residents/popular-services/bulky-..., https://www.recology.com/recology-san-francisco/bulky-items/, http://www.cityofsantacruz.com/government/city-departments/p..., https://www.sanjoseca.gov/index.aspx?nid=3649