So, Pikmin still hangs on the same screen (after Nintendo logo)? While Double Dash managed to go a little bit through the intro before it hangs?

I don't have those games at the moment, so I couldn't test it out, but try this:
- For Double Dash, as soon the game reach intro, quickly mash the Start button (make sure to configure the PAD settings first) and see if the game will skip the intro and then bring you to the menu screen.
- As for Pikmin, use the same method, but press the button while on Nintendo logo instead.

I hope the method will work lol, not sure what else to suggest if it doesn't, since most people were able to run it without much problem (except for graphic and sounds),
and looks like your problem is a rare one, which seems to be related to your computer as well.
https://wiki.dolphin-emu.org/index.p..._Dash%E2%80%BC
https://wiki.dolphin-emu.org/index.p...ikmin_%28GC%29