I am interested in creating a home page that tiles posts

I am interested in creating a home page that tiles posts by category. For each category, it then displays within the tile a featured post and a list of other posts in the same category to read. What's the correct name for this feature? Is there a plug in that does it? I searched plugins on keywords tile and grid but the plugins I found tend to tile post, not categories.

There can also be a featured story on top and list of other featured stories that scroll or can be selected.