I would like to create a page that shows several blog categories, and underneath each category are several posts for that particular category. The posts would all come from the same blog, but would just be organized under different category subheadings on ONE page. I'm not looking for something in a widget, but a solution that can actually live on the page. I would only want the 5 latest posts under each category, and it could just be the post title as a link to the full post. Basically something that looks kind of like this: http://www.thewooden-spoon.com/recipes.html
Is this possible with code in WP or with a plugin?
Thank you in advance for any advice!