According to this study, two polymorphic alleles considered candidates for alcohol-related diseases are distributed very differently in an unmixed, indigenous Mexican group versus a sample of Mexican mestizos. This helps explain the high rate of alcoholism among Amerindians.
Here are death rates (per 100,000) from alcoholic liver disease (CDC):
Notice how, compared to whites, Hispanics do not have a problem with alcoholism despite having some Amerindian ancestry.
I'll keep a lookout for more examples (and correct me if I'm wrong) but it looks like American Hispanics overall are not a comparatively unhealthy group of people.