To do this you've got the likes of linkwithin, outbrain and nRelate -- all good widgets available for just about any platform. Other than that, for blogger, there's hardly any script available that will properly show related posts at the end of your post (or any other place that you'd like).
If your looking to display text links only, Mike More's related post widget for blogger is the best and simplest you'll find. The script below is version 1.0. The latest version 2.0 can also display post thumbnails and offer plenty of customizations.
Add a new Javascript/HTML widget and paste the following:
<script src="http://ajax.googleapis.com/ajax/libs/jquery/1.3.2/jquery.min.js" type="text/javascript"></script>
<script src="http://blogger-related-posts.googlecode.com/files/related-posts-widget-1.0.js" type="text/javascript"></script>
<script type="text/javascript">
relatedPostsWidget({
'containerSelector':'div.post-body'
,'loadingText':'loading...'
});</script>
Note: The widget uses post labels to display related post links. Your recent posts will show up instead, if labels are missing. Make sure you've defined them.
Here's how to add the codes if you prefer:
From your blogger dashboard, click "Layout" on the left panel.
Click "Add a gadget" and scroll down until you see HTML/JavaScript. Open it.
Paste the above codes in the content area there. Save it.
That's it. Your related posts should show up at the bottom of your article. It should help you increase page views and in turn decrease bounce rates - Both positive SEO signals.