One journal that I think of, for example, is Nature Communications.
Why does the author choose to publish the peer review report of their new paper?
Is it to educate others who are submitting papers to the journal?
The peer review reports are pretty interesting to read: some are short and to the point (mostly flattery, with some short recommendations for revision), and some are very long, detailed, and maybe a bit harsh or rude.
A related question, reviewers, e.g. for Nature Communications, have the option of being named in the peer review report, for recognition of their review efforts. Are their names known in advance, during review, before the paper is accepted or rejected? I'm pretty sure the answer is no, but just wondering.