I was rebuilding my Lenovo X61 Tablet today and took a quick peek at the ThinkVantage Productivity Suite (one of the tools that come with Lenovos). I noticed that the first link in the list of items was "Experience Lenovo.live.com" which took me to http://lenovo.live.com where I got a version of http://my.live.com with Lenovo branding in the top left of the page.
I had a quick play around but couldn't find any other OEM pages like this; dell.live.com, hp.live.com don't exist. Nice work by the Windows Live guys - perhaps one improvement might have been to use the wording "Experience Lenovo Live" rather than the URL - just a little more friendly.
Try http://verizon.live.com/ and http://qwest.live.com/
Cool, thanks Jamie! The Verizon one is very heavily customized and actually links in Verizon's own email as opposed to Live Mail. It also doesn't use any of the my.live.com parts I have already configured compared to Lenovo which uses my settings.
They also use variations of the Windows Live branding, QWest is much smaller than the others for example.