With merger of Bing and Yahoo we lost very good link analysis tool (Yahoo! Site Explorer). Now with new look and user experience Bing has reintroduced that tool in its webmaster tool. Go and explore new tools under diagnostics & tools section of bing webmaster tool. Bing has introduced these new tools which are useful for any SEO:
Link Explorer (beta): Just like yahoo site explorer you can check backlinks of any website.
SEO Analyzer (beta): This tool generates SEO reports for websites which are verified by the account you are currently logged in with.
Fetch as Bingbot (beta): See your website as seen by the crawler of bing (Bingbot).
More information can be found at Bing Webmaster Community Blog