Nopcommerce already has the default display of categories on the homepage. But not enough customization.
With this Plugin you can install the display of the same product catalog on the homepage. Plugin supports slide, easy to use and simple installation.
You can find out and demo at the following link:
https://www.nopcommerce.com/p/4749/show-categories-with-products-on-home-page.aspx
Thanks!