A package for carbonated beverages and the like includes a container, and a closure which can be threadably applied to the container by the provision of respective, cooperating thread formations. In order to facilitate release of gas pressure from within the package during closure removal, the present package includes at least one rotation-inhibiting projection, which can be positioned within a vent groove provided on either the container or closure of the package. Notably, a rotation-inhibiting projection in accordance with the present invention is configured vertically asymmetrically relative to a helix defined by a respective one of the thread formations of the container and closure of the package. The arrangement facilitates release of gas pressure from within the package, and further facilitates convenient manipulation and removal of the closure by consumers by minimizing removal torques for the closure.