Want to list the articles in category without numbers in front of them? i.e. in an un-numbered list

Use an override [or hack the core - but remember you'll potentially lose this with updates -]  go to components/com_content/views/category/tmpl/default_items.php and remove this line

    <td align="right">
        <?php echo $this->pagination->getRowOffset( $item->count ); ?>
    </td>

from under : 

<tr class="sectiontableentry<?php echo ($item->odd +1 ) . $this->params->get( 'pageclass_sfx' ); ?>" >