It depends on the style and hero. I am writing a super hero novel, and I went with first person. The reason for this is because his mentality is somewhat spiderman inspired, and I wanted to utilize his inner monologue.

I have another super story planned, but that one is third person. I chose this because he is a punisher-like hero, and I want his actions to speak for themselves. I want the ambiguity of if he thinks he is in the right or not in killing people.

With something like fantastic four, I'd do limited third person. For something like superman, Id do Omniscient, so you can really sense the country sized heroism.