I just noticed that the website of a large British building society (essentially a bank under mutual type ownership) has rel=nofollow on links to websites operated by their own divisions - i.e. other parts of the same organisation.
They also have a links page that has external links that are not nofollowed
Finally they have this gem: a link of the form example.co.uk/?rel=nofollow where example.co.uk is a separate site they have for recruitment. They also have an actual nofollowed link to an internal page on that site.
Then there is the reason I was on their site: a link I had to them was returning a 404 and the site was reorganised, and not only is my existing link broken, but I cannot find the (fairly important) information on the new site.