By default, Monitor Backlinks shows 1 link per domain. First, go to your account settings and change so that you can instead see up to 5 links. We've found that having more than that creates a lot of noise from sitewide links (eg. footer links) and non-live links.
To download a list of backlinks for your domain and for your competitors, you'll have to click "Export" from both Backlinks and Competitors.
For your own domain: http://cloud.enux.com/0v1o0k1w253F
- click "Backlinks"
- click "with All"
- click "Export"
For each competitor: