Semiconductor device packages in accordance with this disclosure may include a substrate and a stack of semiconductor dice attached to the substrate. The stack of semiconductor dice may include vias extending through each semiconductor die of the stack for electrically interconnecting the semiconductor dice in the stack to one another and to the substrate. Another semiconductor die may be electrically connected to the stack of semiconductor dice and may be located on a side of the stack of semiconductor dice opposing the substrate. The other semiconductor die may be a heat-generating component configured to generate more heat than each semiconductor die of the stack of semiconductor dice. Electrical connectors may be located laterally adjacent to the vias and may form electrical connections between the substrate and the other semiconductor die in isolation from integrated circuitry of the semiconductor dice in the stack.