If you want to set up an auction site then Truition is a company that does that for some big names.
If you need eBay integration, take a look at this post.
There are lots of eCommerce solutions out there that don't have eBay integration. If you want it to look as slick as the sites you mention you will also need some custom web and graphic design work done to develop a brand and style. You will find some of the biggest players by searching Google for "ecommerce software" - be sure to look at the ads as well as the main search results.