Ah - now I understand what you want to do. Give these posts a title as per normal (post without titles are a Bad Idea generally) but I'd suggest filing all of them (and no others) under a very specific catgeory created purely for this purpose.
Then you'll need to edit your theme's index.php file to get the template to identify and treat these post differently based on their category. For example, assuming that the special category is called "Quick Links", something like this should work:
<?php if (have_posts()) : while (have_posts()) : the_post(); ?>
<div <?php post_class() ?>>
<?php if( !in_category('Quick Links') ) :?>
<h2><a href="<?php the_permalink() ?>" title="Permanent Link to <?php the_title_attribute(); ?>"><?php the_title(); ?></a></h2>
<small><?php the_time('F jS, Y') ?></small>
<?php endif;?>
<div class="entry">
<?php the_content('Read the rest of this entry »'); ?>
</div>
<?php if( !in_category('Quick Links') ) :?>
<p class="postmetadata"><?php the_tags('Tags: ', ', ', '<br />'); ?> Posted in <?php the_category(', ') ?> | <?php edit_post_link('Edit', '', ' | '); ?> <?php comments_popup_link('No Comments »', '1 Comment »', '% Comments »'); ?></p>
<?php endif;?>
</div>
http://codex.wordpress.org/Template_Tags/in_category