I have a fair few health problems so to some it might seem like I obsess over them but that's just a byproduct of chronic illnesses/ailments/pain/whatever. I actually don't think about it all too often and that's bad because it means I accidentally do things that aren't good for me (like having caffeine too late or getting worked up late at night and exacerbating my insomnia)... or other things will surprise me because I wasn't expecting them although if I'd paid attention to the signs more carefully, it wouldn't be such a problem and so on.
I don't really want to get into specifics but I could probably benefit a lot from being a bit more obsessive with my health. The only problem with that is I know when I do, it gets a bit depressing and overwhelming than the apathetic/ignorant view I tend to prefer despite its consequences. I'm still trying to find a good balance.