Product list module for PrestaShop is the most popular addon to create lists of products and to display them in your front office. This plugin allows to display blocks with products in several sections of shop like homepage, homepage tabs, left column, right column. Module allows to create new tabs with products near other tabs like "new arrivals" etc. (default bootstrap theme in prestashop contains tabs feature).
Module contains many features to display selected products, selected products from category, new products, best sellers etc.
With these features you can also display products randomly, in selected order etc. You can read more about this PrestaShop extension on official addon page: product list module for PrestaShop
You can find there only valuable solutions for your e-commerce shop based on PrestaShop engine. Search the best plugin for your store that will meet your requirements and just use it.