As a person from Europe, I will tell you original Xbox was like the ugly duck from the tale. Its hardware was more powerful but because it was released a year and a half after PS2.
Being said that, catalogue wise, PS2 simply obliterates any console in that gen. It does not matter you only like Ninja Gaiden or Mario Sunshine. So, no, don't buy it unless you can get it for a ridiculous price second hand.
Xbox 360 was a totally different thing. Its hardware was also superior to the PS3, although both were not very reliable as they had their own problems at the beginning. But this time a 360 owner could live without buying a PS3, because games on 360 were usually the superior versions and it had many exclusives, although if you were a JRPG fan you would miss many on PS3. Xbox360 is the best Microsoft console of all times hands down.
Xbox One started flawed, with the online always stupid thing that was later retracted. The console got fewer games than PS4, and this time PS4 got better. Due to being more powerful than Xbox One, games usually performed better, or at higher resolution, although some of them performed equally or even a little better on Xbox One because resolution was lowered to 720p. So, never buy a Xbox One, not because PS4 is way better, but because the direct competence is Xbox Series S.
Xbox Series S is an amazing piece of hardware. Is what I have been dreaming of a console in the last 10 years. A small, low power consumption, non-pretentious console for playing videogames with enough power to show nice stuff on screen. I am so sorry the console is only digital, but I am very sure I will end buying it for playing emulators. If it ever can be hacked, which I doubt, it would be an amazing device to have in every home because, at least where I live, you can find them for 100-120€ second hand.
In a nutshell:
Xbox: Only buy it if you can find it very cheap
Xbox 360: Get one, and install RGH. You will never regret it.
Xbox One: Never ever get this crap.
Xbox Series S: Get it if you don't mind digital games only and you like emulation.