Hi Rikki,
The recent Ashley Madison hack, and others like it, definitely help to highlight the dangers.
Two things that I've implemented on our forum to help beef up our security are:
1. Run the entire site on SSL (most people might already do this, it's an easy yet useful step)
2. Encrypt email addresses (or other personally identifiable data fields) - this was really most important in our situation as it helps to protect the identity of our members in the event of a hack. It's not for everyone though, as it is a bit of work to setup as well requires template changes to be considered with updates.