VideoGamesShop or VideoGamesStore would be amazing
VideoGamesShopping..well it is not really correct - everybody understands what is the meaning behind is, but I doubt any serious end user will actually pay some significant premium to domainer holding the name, and build serious business on it. It is also pretty long name.
Not 100% sure here, but I feel now much value in it, maybe mid XXX if some end user seriously likes it.