What engines online store can advise? Is required to filter the products. Under filtering, I mean the checkboxes and radio buttons for the selection of certain commodities, such as Yandex.Market. Well, open source is highly desirable. Know about OpenCart, only to find beneath it a sensible extension of the filter difficult.
Оpencart by far. Module advanced filtering can buy (mine is about 1000 for the highest possible in the fantasy naczelny filter) look, everything is there for a long time already. Therefore, it was poradoval convenience podstanovki your filter in the category paradisenow. Yandex market it is possible to catch up.
Has besplatni gotovi PrestaShop module layered navigation, which by default is deactivated. You can enable it in admin --> modules. Plus: Presta fast and simple.
Magento has layered navigation Whitey who is included/villaette for a specific category of products by setting the "is anchor". Plus: attribute product (price, color, size) are configured in a very flexible way.
There are many other platforms, but these two must see.
Magento Shopify PrestaShop Zen Cart Virtuemart
Any engine. The main thing is not CMS, and the skilled hands of the programmer using it. And don't skimp, it's your business