The first generation 360's diden't have an hdmi port as far my memory can tell,but i doubt you'll find one in working condition anyway.
I've always been more of an xbox guy then a playstation guy, while i do love the ps1 and ps2 to death and have a massive libary of games for them, the ps3 kinda pushed me away from sony for a good while, i bought one on launch and it crapped out on me after 2 months, despite the warranty it was apparently my fault and sony pretty much told me to pay for repairs.
I've stuck with xbox as my major gaming platform since then, don't really regret it.
The xbox one s should have been the orginal model from the start, whoever decided that including a kinect with a vcr should have their head checked.
However with the xbox one x is when microsoft finally got it right. I don't have a ps5 or xbox series x yet so for now it's my go to console for playing my games.
Also for exclusives try out state of decay 1 (and 2) and man how can i forget screamride, you almost never hear somebody talking about that game.