High power PCB to PCB connector names?
Use connectors that are rated for the power you want. They might be edge-to-edge or board-to-board, or wires. At some point they might have product names that are power-edge-to-edge or something similar at some arbitrary threshold, but they're all in the same category.

For instance:

This connector is a standard card edge connector that is rated for 40A and 250V.

The main thing you need to figure out when choosing a different type of connector is how you want the boards to mate. Do you want a wire between two loose boards? Do you want them to slot in perpendicular? Do you want them to connect end-to-end? Etc.