I am trying to achieve a table type item list like is shown in the rsledlcd.com showcase site. Can this be done within the standard K2 parameters, or do I need to modify the template? And what pages of the template would I need to mod?

Hi. Yes you need to make a template override. Now the pages depend on the view. For example fom modyfing a category list view you need to modify the category.php and category_item.php layouts.