You can hardly call the invasion of Iraq a conquest. It was a successful expeditionary incursion but the stated goals by the PNAC for the war were the stabilization of the Persian Gulf oil producing region and the demobilization of the troops stationed in the border since the first Gulf War. The demobilization did happen but the Persian Gulf was not stabilized at all. So in that sense the war failed to meet their objectives.
The PNAC also intended to invade North Korea at the same time but I guess the Afghan war precluded that from happening.