What are we defining as cool? Like, the names that were actually considered cool in their time? Or that we think were just good names now? I think Genesis was cool in its time. Switch is cool now. Playstation was a very "cool" system, but I don't know about that name. The more you detach yourself from the brand to objectively think about it, the more lame Playstation sounds lol. Seems like we all just got use to it. The Xbox name was never cool. It seemed corny at the time (back then, if you wanted to be hip, you put an X before or after a word; it was a very dude-bro thing) and, similar to Playstation, I think we all just got use to it. Same with Gameboy.
I think I'll go with Genesis as the coolest sounding console. Jaguar and Turbo-Graphics 16 was pretty cool sounding, as well.