Update - I've got it working now - see How to embed a Flickr slideshow

I created myself a Flickr account which you can find at http://www.flickr.com/photos/simondotexception/ and uploaded a few random photos so that I can try it out.

I then went to http://www.roytanck.com/get-my-flickr-widget/ in search of a widget which I'm sure I've seen on people's blogs which displays some of their Flickr photos. It gave me this HTML:

<div style="width:200px; text-align:center;">
  <object type="application/x-shockwave-flash" data="http://media.roytanck.com/flickrwidget.swf" width="200" height="200"><param name="movie" value="http://media.roytanck.com/flickrwidget.swf" />
    <param name="bgcolor" value="#ffffff" />
    <param name="flashvars" value="feed=http%3A//api.flickr.com/services/feeds/photos_public.gne%3Fid%3D51918010@N04%26lang%3Den-us%26format%3Drss_200" />
    <param name="AllowScriptAccess" value="always"/>
    <p><a href="http://www.roytanck.com">Roy Tanck</a>'s Flickr Widget requires Flash Player 9 or better.</p>
  </object>
  <span style="font-size:9px;">Get this widget at <a href="http://www.roytanck.com">roytanck.com</a></span>
</div>

From which I got...

... which isn't quite what I was looking for, and it's quite a task translating the HTML into an editme page too.

Ah, I didn't need to leave Flicker to find what I was looking for - on any page, click on the "slideshow" button at the top-right of the page, and then click on the "share" link to get some code like this...

<object width="400" height="300">
  <param name="flashvars" value="offsite=true&lang=en-us&page_show_url=%2Fphotos%2Fsimondotexception%2Fshow%2F&page_show_back_url=%2Fphotos%2Fsimondotexception%2F&user_id=51918010@N04&jump_to="></param>   <param name="movie" value="http://www.flickr.com/apps/slideshow/show.swf?v=71649"></param>
  <param name="allowFullScreen" value="true"></param>
  <embed type="application/x-shockwave-flash" src="http://www.flickr.com/apps/slideshow/show.swf?v=71649" allowFullScreen="true" flashvars="offsite=true&lang=en-us&page_show_url=%2Fphotos%2Fsimondotexception%2Fshow%2F&page_show_back_url=%2Fphotos%2Fsimondotexception%2F&user_id=51918010@N04&jump_to=" width="400" height="300"></embed>
</object>

Which translates as

(full screen mode doesn't seem to work). I'm sure some of the flashvars parameters can be trimmed down.