Fagles is my favorite of the two, because he gave me more of what I wanted: high diction and mythic tone. Wilson's translation was great, and evidently captured the spirit of the Greek much better, but I wasn't really looking for that. I'm not a classicist, I don't read Greek. I want my blood to be stirred by evocative lines that transport me into a non-existent past. I don't think that's what Wilson was trying to accomplish, so it's no surprise she doesn't succeed at it.

But, to answer your question, one advantage of the Wilson Odyssey is that it is a really fast, fun translation to read. Whereas I found Fagles to be more of a study, Wilson was practically a page-turner. I'm not saying it was dumbed-down in any way! It's an amazing achievement to have maintained fidelity to the source text while also writing something approachable and engrossing for popular audiences. When she finishes translating the Iliad, I will buy that too, and probably give both her translations to someone I want to have a good experience with Homer. I wouldn't do that with Fagles.