How to display Variations on single product (No price, No add to cart button…)

Try:
https://wordpress.org/plugins/woo-variations-table/

You can give the products any price so they will show in the table, then hide the price column in the plugin’s settings.

Next, you’ll want to hide the quantity and add-to-cart columns. To do so, you can use this custom css;

#variations .quantity,
#variations .add-to-cart {
  display: none !important;
}

Here’s some more you can look at. I can’t say whether or not any are suitable for you.
https://wordpress.org/plugins/woo-quick-order-table-view/
http://codecanyon.net/item/woocommerce-product-listing/5222089
https://wordpress.org/plugins/woocommerce-grid-list-toggle/
http://codecanyon.net/item/woocommerce-grid-display-product-ajax-filter/9936306
https://codecanyon.net/item/woocommerce-products-list-pro/17893660
https://codecanyon.net/item/woocommerce-variations-to-table-grid/10494620

With any of the above, you’ll want to check that there is a reasonable display in mobile view. Tables in small display widths need special attention if they are to work well.