Trawling the web as you do I think I've found what is possibly the BBC's first website. Princess Diana's tributes are quite good in that people knew how to spell and punctuate properly back then..
http://www.bbc.co.uk/news/special/politics97/

Also a few random pages from the BBC with some links to some old news one of which seems quite topical even today......
http://news.bbc.co.uk/1/hi/uk/32011.stm
http://news.bbc.co.uk/1/hi/world/36465.stm
http://news.bbc.co.uk/1/hi/world/europe/528763.stm

 

This is always a good time waster... https://archive.org/web/