The extent to which current game consoles support external hard drives varies from manufacturer to manufacturer:
The Xbox One allows the connection of up to two additional hard drives via USB 3.0, make sure that the additional hard drive is USB-3 capable and also at least 256 gigabytes in size. You can expand the internal memory of Xbox Series X and S with both conventional hard drives and new memory cards.
Nintendo Wii U: The Wii U supports external hard drives of up to 2 terabytes to expand the capacity of the console. Nintendo recommends self-powered devices and provides a list of compatible models online.
Sony PlayStation 3: If you need capacity to install games, you can install an internal 2.5-inch hard drive. You can find these as original accessories or use Sony's mounting frame in combination with any internal hard drive. Compared to the PlayStation 4, you expand the memory of the PlayStation 5 and do not exchange it. The internal hard drive with a size of 825 gigabytes remains the same.