Asics has always been my favorite running shoes... tried many other brands, but always ends up with Asics http://www.asics.no/ Got last years kayano's in summer and winter edition. Makes me run almost as fast as Forrest Gump!
There is NO best running shoe! Each runners feet have different characteristics; each runners has a different running style; each runner has different needs. Each running shoe has different characteristics and meets different needs. The challenge in the running shoe business is to match the needs and characteristics fo the runner to the running shoe that provides those needs or characteristics .... not easy. See: http://www.running-shoe-rx.com
I think Adidas it the best one. It specialized on running shoes and also i saw nice adidas laboratorys.
I think new balance is the best running shoe out there. Although for those having problems with their new the nike lunar glides is also a good brand.