The original and best version of my poor, precious Deadly Premonition is still locked to Xbox consoles (though the fact that Microsoft included it in their back compat program was nice of them). Every few months I update Xenia and check if it’s gotten any better but the graphics are still busted.
I’ve been playing the Gears of War games, and while Gears of War 2 was pretty much perfect with only a handful of crashes and few misbehaving minor graphical effects, Gears of War 3 has a massively annoying issue where loading a checkpoint during most levels will completely fuck the game’s scripting and softlock you in various bizarre ways. It also crashed more often which synergises wonderfully with the aforementioned checkpoint problem. You basically need to finish most of the game without dying (or crashing) once
Gears of War Judgment doesn’t have the checkpoint problem, but instead has an issue where after the game has been running for about five minutes, textures begin failing to load, making the game look increasingly psychedelic:


At least it runs nicely and doesn’t crash 
Original Xbox emulation is still pretty hit and miss too. One moment you’re playing something on XEMU and it looks incredible upscaled, then something like this happens:
Not disparaging the devs who already work on these emulators, but it’s clear Nintendo and PlayStation projects have (understandably) way more people working on them


The 360 still has some viable ways to play a lot of the important games at least and the console is widely available with now an easily accessible way to mod the console so its eh.
However the original xbox is a goldmine of obscure and interesting titles that its really kinda sad xemu is so far behind. Especially considering the hardware is not accessible and many units are dying if the clock battery isnt removed or replaced.
The original xbox is probably one of my most favourite consoles and has what feels like a distinctly different and more experimental library than the other consoles. Also doom 3 and escape from butcher bay were glorious visually. Also it has the best way to play some of the splinter cell games as xbox was the target platform. It also has the better double agent release