Faviorate portable console: Nintendo DS. This console may not have the graphical capabilities of the competitor, PSP, but it has a lot of other good things. For one, it is quite popular with the Homebrew community. Then, you also have the two screens, haven't seen that anywhere else (split screen from Super Mario Kart or any multiplayer game does not count). You also have the built in mike, and the wireless multiplayer (The PSP does not have an option of downloading a demo or multiplayering live without owning the game).
Faviorate Console Game: Nintendo 64. Why is this not in the options? It was a superior console that other consoles have yet to beat its epicness. I mean, it had the good games, such as Golden Eye, Ocarina of Time, Pokemon Stadiums, and a lot of others. It also had something that a lot of consoles also don't have: the option of having your memory card in your controller. It adds to the simplicity, since you can also have four save card slots, so it is convinent in some parts (Gauntlet Legends, anybody). It also has the ability to have backwards compatability with a console that is not even related to the console. There is also a mike that can be strapped to the N64 (I Choose You, Pikachu!, anybody). It also has 4 player, which the PlayStation didn't have, and no other console has as good as multiplayer as the N64.