It depends on the subject matter. Reuters and Al-Jazeera are by no means objective on all subjects -- the obvious example is Al-Jazeera and anything to do with Israel. (They immediately begin frothing at the mouth and spouting angry gibberish, just like, e.g., Fox news does in the US when reporting on Democrats.) But Al-Jazeera has useful reporting on other subjects.
I think the key is to try to figure out who's useful for what subject matter. Vanity Fair is probably not reliable for anything.
I'm not really seeing this frothing at the mouth you're speaking of, particularly when you leave out Opinion articles rather than reporting. (But HN is really not the place for this conversation...)
Supposedly they tone it down in their english publication. I only speak english though, and Al Jazeera FUD is hardly unheard of over here, so who knows.
I think the key is to try to figure out who's useful for what subject matter. Vanity Fair is probably not reliable for anything.