(too difficult?)Is there a way to show all the products featured ?

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Is there a way to show all the products of the shop in featured products (in various pages) and give the possibility to the customer to order them from the front office e.g. in order of last inserted products or the most sold?
I would like also view the result of a search or a category not as strips products horizontal but as icons type products featured and also here give the opportunity to the client to order them as last inserted or most popular as sold
Thank you.
Gianluca