This is from my modules/Upselling_Products/related_products.tpl Combination of codes others posted. Removes product id from upsell and inserts product image.
Remember to copy your code before changing in case it botches things up for you in your cart version.
Code:
{* $Id: related_products.tpl,v 1.6 2002/05/20 06:55:24 lucky Exp $ *}
{if $product_links ne ""}
{capture name=dialog}
<table border=0 cellspacing=5>
{section name=cat_num loop=$product_links}
<td width=100%>
[img]../image.php?productid={$product_links[cat_num].productid}[/img]
<font class=TableCenterSubCategoryListTitleBlue>{ $product_links[cat_num].product|escape}</font>
</td>
</tr>
{/section}
</table>
{/capture}
{include file="dialog.tpl" title=$lng.lbl_related_products content=$smarty.capture.dialog extra="width=100%"}
{/if}