I had this issue on version 7.0.6. Only local administrators could log in. When I looked at the event log, I noticed that a specific file could not be copied from the Default user profile. The file was: C:\Users\Default\AppData\Local\Encryption Anywhere\RemovableStorageSettings.xml.
My co-worker discovered that the file's permissions were all screwed up. I'm not sure what caused this, but that file was not inheriting permissions. The *only* entry it had in its ACL was the local administrators group. So, you can either add permissions to it or reset the file to start inheriting perms. Once that was done, I could log in without issues with non-administrator accounts.
I added a line in my installation wrapper to use "CACLS.EXE" to grant permissions on that file, so that it's all automatic now. Hope this helps!