Custom excerpts

I am using the following, very simple code:

<?php the_title(); ?>
<?php the_excerpt(); ?>

Now on my template I have a large box where this works perfectly, shows the title, shows the thumbnail and the excerpt with the read more link. However, I also have smaller boxes on the same page where I want to display other excerpts without the featured image, i.e just the title and text.

I have searched for an answer, but everyone seems to want to add the image, I can get the image to go away. Also, because the larger box uses the default, I would need to add a custom excerpt to handle the display of the smaller boxes.

Any ideas?