Wouldn't it be vice versa? ;)

you are wrong on so many levels, Xbox didnt beat Gamecube because of brand recognition.

First of all, Xbox had really good 3rd party support, better than Gamecube had. Also, Halo was not the only major game for it. Overall, Xbox had alot of things going for it that Gamecube didnt.

N64 did really well in the west and a big part of that was due to the shooter crowd (which also enjoy sports/racing) games like GoldenEye, Perfect Dark, Turok were big successes on N64 and a decent amount of sports/racing games also did well. Xbox was able to steal this crowd from Nintendo, Halo was basically the GoldenEye of the 6th gen. Other games like Brute Force, Unreal Tournament, Doom, Riddick: Butcher Bay, etc helped cement the shooter crowd on Xbox while Nintendo did very little to keep them.

Outside of that Xbox had the Tom Clancy games (Splinter Cell, Ghost Recon, Rainbow Six) as timed exclusives. Xbox eventually got the GTA games on it which Gamecube never did. Xbox was also the console home for western RPGs (Elder Scrolls: Morrowind, Knights of the Old Republic, Fable).

Xbox also had the premier online experience on consoles at the time with Xbox Live, Nintendo didnt embrace online with Gamecube. Xbox was also a multimedia device with CD & DVD playback which Gamecube did not have.

On top of that, Nintendo made some other questionable decisions with Gamecube. It was designed to look like a childrens toy which pushed away teens and young adults.

They also had some weird experiments with their franchises that didnt really go over well at the time. Mario Sunshine was about Mario cleaning up graffiti/pollution, that sounds like an educational spinoff along the lines of Mario is Missing. Wind Waker had cartoon visuals which was seen negatively at the time. Star Fox wasnt a space shooter, instead u played on foot with dinosaurs. Donkey Kong only had rhythm based games that required bongos. Just choices that didnt go well with the general public or Nintendo fans at the time.

So to say that Xbox beat Gamecube due to brand recognition is absolutely false.

But Gamecube had Resident Evil 4 (exclusive for a time), Tales Of Symphonia, Metal Gear Solid The Twin Snakes, Star Wars Rogue Leader, Star Wars Clone Wars, Star Wars Rebel Strike, 007 Nightfire, Goldeneye Rogue Agent, Turok Evolution, several Splinter Cells, several Call Of Duties, Final Fantasy Crystal Chronicles, Baten Kaitos.... Let's face it, if we are talking about big third party titles Gamecube had a TON of them compared to the original Xbox (and this is NOTHING when including the plethora of first party titles, of which there were multiple of every series). It was also the most powerful system of the three and games were graphically better. 

You also mention Windwaker, but fail to mention Twilight Princess. You mention the Star Fox's but not the fact that Metroid Prime was HUGE. You mention Mario Sunshine and not Paper Mario. What about Smash Bros Melee, or Luigi's Mansion, or Mario Kart Double Dash? Face it, it had the quality and the quantity.

It WAS the fact that Microsoft made a console. The brand recognition was MASSIVE in the US, and was a huge reason it took off. Xbox as a brand name may have meant nothing, but the company behind it sure did.

again you are wrong, Xbox had more 3rd party support than Gamecube, its not an opinion, its a fact. Gamecube had 600+ games while Xbox had 900+ games.

you honestly have no clue what you are talking about, Gamecube was not more powerful than Xbox, that is another fact.

i didnt bring up Twilight Princess because it released 5 whole years after launch when the console was already dead and had been replaced and the Wii version came out first.

You are right that Gamecube had some great games and did some things right but thats not the point of what were talking about, were talking about why Xbox outsold Gamecube and that is due to the things Microsoft did right and the things Nintendo did wrong.

Like I said before, Nintendo pretty much gave up the shooter crowd by not having a killer app shooter at or around launch casuing alot of the GoldenEye/Perfect Dark crowd to switch to Halo. Microsoft embraced multimedia functions & online features while Nintendo didnt.

And how many of those were huge mainstream games comparitively? It had Halo (which is exactly what I said) at launch and the Microsoft name behind it. 

And you bring up online, but the PS2 didn't have online for most of its gen life and it demolished Xbox.... I can't even think of a major online game for PS2 (bar FF XI). Obviously it was not that important of a function. Heck, Dreamcast had online funtionality. Didn't really help it.

Alot, Star Wars: Battlefront & Battlefront 2, Grand Theft Auto III, Vice City, San Andreas, Burnout 3, Burnout Revenge, Knights of the Old Republic, KOTOR 2, Elder Scrolls 3, Doom, Unreal Tournament, Dead or Alive 3, Ninja Gaiden, Ninja Gaiden 2, Max Payne, Max Payne 2, Midnight Club 2, Midnight Club 3, Battlefield, Battlefield 2, Brothers in Arms, Metal Gear Solid 2, Mercenaries, The Warriors, Red Dead Revolver, Hitman: Contracts, Hitman: Blood Money. A bunch of 3rd party titles to skip GC and the list goes on.

And actually Playstation 2 had alot of online games

https://en.wikipedia.org/wiki/List_of_PlayStation_2_online_games?wprov=sfla1