Manorexia. Orthorexia. Diabulimia.If this was a GRE question, I guess you'd say that the second is not like the others morphologically. The initial element of the first item is not from manic (as I first wondered) but rather man — it's male anorexia. The second uses a familiar prefix, and it's a fixation on eating healthy food, according to this description, a disorder unto itself, not directly compounded with anorexia. And the third is about diabetics who avoid insulin because it can cause weight gain but apparently doesn't involve purging. More immediately obvious in meaning is drunkorexia, mentioned in the subtitle and discussed at length in the article.
The blends above all refer to potentially fatal health problems (and we have blends that are negative in meaning — smog, stagflation) but it seems like a lot of blending in English is commercial or playful, like in Lewis Carroll or the celebrity names you can see here. Using blends here not only makes these terms distinctly non-clinical sounding, but it also feels awkward given concerns about glamorizing eating disorders (like here), not to mention that we surely don't want to do anything that sounds like it trivializes them.