A variety of improved approaches for packaging integrated circuits are described. In one described approach, a multiplicity of dice are mounted on a carrier (e.g., a plastic carrier). Each die has a plurality of wire bonded contact studs secured to its associated I/O pads. An encapsulant is applied over the carrier to cover the dice and at least portions of the contact studs to form an encapsulant carrier structure. After the encapsulant has been applied, a first surface of the encapsulant and the contact studs are ground such that exposed portions of the contact studs are smooth and substantially co-planar with the encapsulant. In some embodiments, a redistribution layer is formed over the encapsulant carrier structure and solder bumps are attached to the redistribution layer. A contact encapsulant layer is applied over the encapsulant carrier structure to provide extra mechanical support for the resulting packages.