special listing

Hi,

You can do that by creating one product listing module for each category and then adding them with the loadposition system of joomla in a joomla article:
docs.joomla.org/How_do_you_put_a_module_inside_an_article%3F
For each module, you will have a set of options where you will be able to select the number of columns, the display layout, the category information which will be display etc.
And if you need to do some cosmetic changes, you will be able to do it by editing the files of the view product via the menu Display->Views.

The search module will redirect to a product listing menu.
You will be able to use it next to that listing. But you won't be able to get the results displayed like that.
That would require heavy modifications of the code and not only in the views but in the core code too.