A few days ago, I faced the problem that I did not want to have the „Home“ link in the Magento breadcrumbs navigation. To avoid this, we simply have to insert an additional if-condition to app/design/frontend/[yourtheme]/[yourtemplate]/template/page/html/breadcrumbs.phtml
The new breadcrumbs.phtml looks like this (line 06!):
<?php if($crumbs && is_array($crumbs)): ?>
<div>
<ul>
<?php foreach($crumbs as $_crumbName=>$_crumbInfo): ?>
<?php // do not show homepage in breadcrumbs ?>
<?php if($this->getUrl('') != $_crumbInfo['link']): ?>
<li>
<?php if($_crumbInfo['link']): ?>
<a href="<?php echo $_crumbInfo['link'] ?>" title="<?php echo $this->htmlEscape($_crumbInfo['title']) ?>"><?php echo $this->htmlEscape($_crumbInfo['label']) ?></a>
<?php elseif($_crumbInfo['last']): ?>
<strong><?php echo $this->htmlEscape($_crumbInfo['label']) ?></strong>
<?php else: ?>
<?php echo $this->htmlEscape($_crumbInfo['label']) ?>
<?php endif; ?>
<?php if(!$_crumbInfo['last']): ?>
<span>/ </span>
<?php endif; ?>
</li>
<?php endif; ?>
<?php endforeach; ?>
</ul>
</div>
<?php endif; ?>
Hope this helps someone.