YES. BrowZine supports hundreds of publishers (commercial, society, university presses) across all disciplines. Here's the current publisher list
, which includes Oxford, Cambridge, Project Muse and more. It doesn't include JSTOR, but that makes sense since it doesn't provide full text for the most recent 3-5 years for any journal, and BrowZine is an alerting tool for the recent journal issues. But if we have current access to those JSTOR titles elsewhere, you should be able to get to them in BrowZine if those publishers are included.