There's a good summary of LibreSSL's track record over the past two years in comparison with OpenSSL on the LibreSSL Wikipedia page (https://en.wikipedia.org/wiki/LibreSSL#Security_and_vulnerab...).
There was also news a few days ago (https://news.ycombinator.com/item?id=12691733) that Alpine Linux is adopting LibreSSL Portable in place of OpenSSL.