<p>Degrees in art history and cultural anthropology are in equally low demand on the job market, but while cultural anthropology is also a relatively rare major, art history is one of the most oversubscribed majors I can think of. It doesn’t make sense for you to switch to art history for practical concerns; there is already a great surplus of art history majors on the job market as it is.</p>
<p>Whichever one you pick, you are unlikely to find a job in your field. As for getting a job in an unrelated field, I don’t think a degree in art history would carry any advantage over a degree in cultural anthropology.</p>