A resealable container lid assembly including a cap rotationally assembled to a lid. The cap rotates between storage, opening, removal and resealing positions. Various configurations of cams and ramps are used to generate and apply an opening force to a score line. An elastomeric sealing element is disposed between the cap and the socket so that when the cap is in the fully seated or sealed position, an substantially or completely airtight seal is created to prevent the contents of the container from leaking out. Further enhancements are disclosed that include a score line structure in the socket bottom wall that facilitates a predictable and repeatable opening of the container along the score line. A grip is provided that includes a gap or space into which a coin or other implement can be inserted to allow the consumer a better grip to provide adequate opening force.