This depends a lot on the field. Every neuro paper I have reviewed has the author's names and affiliations intact, along with unblinded citations like "Experiment was done as we described previously (SameFolks et al., 1999)."

On the other hand, I've always been suspicious that people can reliably guess the authors when doing a blinded review. I've seen one study that said 30% of reviewers (in a small sample) could do so, but that hardly seems like a reason to abandon the idea altogether.