Are there journals with the same "great big debate" format at Behavioral and Brain Sciences?
Although I haven't seen this format in particular (and I'm a neuroscientist, maybe I should be paying more attention!) it looks like Open Peer Commentary is also a phrase used by other journals, so searching based on that phrase may help you find journals in other fields relevant to your interests.

A less-formal approach that is somewhat similar is "post publication peer review", although at least in my experience these venues have not really taken off. PubMed Commons, for example, was discontinued after a pilot. These formats allow for online comments on published papers, but not in a curated format like your example.