Even better, ban newsweek which is nothing but a tabloid these days.
If you're going to ban anything that's basically a tabloid these days, doesn't that mean there won't be any news sites left?
Reuters is still pretty good.
I don't really like the NYT that much, but I don't think you can classify it as being a tabloid. At least it's usually well researched and substantiated for a good amount of articles.