The Massachusetts Department of Labor and Workforce Development is now publishing selected BOR decisions online.
As of 2017, all BOR decisions in a year are posted at this link: https://www.mass.gov/board-of-review-public-records
As of 2013, selected BOR decisions were posted online in the Key Decisions section, https://www.mass.gov/orgs/board-of-review
According to the Department, they are are publishing selectively, with a focus on those decisions which they think will be of interest to the public because they restate important and well-established but frequently misunderstood rules of law, create new precedents, or overturn prior Board precedents.
They have built both navigational and search features into the posting system, so that you can look for decisions by pre-formatted topic ("misconduct", "voluntary quit", etc) and by subtopic within those topics, or you can look them up by keyword ("tardy" , "no-show/no-call", etc).