Yes. Over the years, I have improved the strapping of my water heater, from improvised sketchy to officially sturdy (I believe strapping is now mandatory in most of Cal these days). The reefer is secure, and I am most concerned about the unreinforced masonry fireplace chimney - I screwed down some plywood pieces in the attic to provide shielding.

Also took the mirror off the bedroom ceiling - a really bad idea in California, despite the "Hotel California" lyrics ("mirror on the ceiling, pink champagne on ice...."