Packaged microelectronic devices and methods for manufacturing packaged microelectronic devices are disclosed. In one embodiment, a system comprises a semiconductor component including an interposer substrate, a microelectronic die over the interposer substrate, and a connection structure composed of a volume of solder material between the interposer substrate and the microelectronic die. The connection structure can include at least one of (a) a single, unitary structure covering approximately all of the back side of the microelectronic die, and (b) a structure electrically isolated from internal active features of the microelectronic die. In some embodiments, the connection structure can be positioned to provide generally consistent stress distribution within the system.