They do...most upcoming games are 1080p on both...like wolfenstein for example.
http://www.ign.com/articles/2014/02/27/wolfenstein-the-new-order-is-1080p-60fps-on-xbox-one-and-ps41080p and 60fps on both systems.
I play both systems so I don't favorite either.  My xbox one is on more simply because I have my TV coming through it.  Still waiting for good games to be released on either of them.  Infamous this month, so I will definitely check that out.