Posted Thu Oct 13, 2011 3:41 PM
Some third-party analog sticks were made to be compatible with both IBM and Apple II machines, so the top cable may be an adapter from one of those controllers.
The bottom cable has already been identified, but to give a little more information, the original Apple II, and maybe the Apple II+ as well, did not have an external game controller port, and so the cable was necessary to provide one. The Apple IIe has an external game port, but also retains the internal port on its motherboard as well. The Apple IIc has only the external port, making the cable unnecessary.
AtariSoft manufactured their own version of the cable with a male 9-pin plug instead female, allowing Atari- and Commodore-compatible controllers to be connected to an Apple. This cable was bundled with AtariSoft's Track and Field along with the 3-button T&F controller, allowing the company to release the same controller for all systems that received a T&F port. I've thought before that it would be good to hack other Apple II games to use an Atari joystick instead, but I don't know enough machine language to give it a go.