I am posting a quick summary of the tools mentioned above, in case it helps others.
Websitegrader - the original tool no longer exists and was replaced by Marketing Grader (pretty useful although no longer SEO focused)
Woorank - I simply love this tool and the free report generated
SEOMoz.org - their Pro subscription product ($100/month) which I tried is fantastic, but what's not clear anywhere is that the rankings only update about once a month, so no need to be glued to stats daily. The schedule for updates is here (I had to email customer service to get this info): https://seomoz.zendesk.com/entries/345964-linkscape-update-schedule
Use your free trial wisely (ideally you would sign up right after the refresh and catch another data refresh while still in trial)!
opensiteexplorer.org - this is one of the free tools from SEOMoz.org with some basic SEO checks, focusing on backlinks. There is a limit on free checks so again use wisely.
DIYSEO - I am disappointed with quality of data, entire Link Building section was wrong (as compared to OpenSiteExplorer tool mentioned above). I emailed Customer Service and asked how often it's refreshed. Subscription if only $49/month - half the cost of SEOMoz Pro product so would be a good deal for some if quality of data was comparable.
I will update post with any additional info I discover.
EDIT: Update from a DIYSEO customer service response - DIYSEO uses two different data sets, one for the Report Card and one for the Application itself and the data set for the Report Card is truncated in order to speed the analysis and provide real time responses. So sometimes quick snapshot doesn’t give you the true picture of the site.