Are there any xbox games which could be played offline?

Free to play games: The Walking Dead, Hitman 2 Free Starter Pack, One Leaves, Life is Strange, and (I believe) Path of Exile.

There's a lot more on the free to play list, but these are the ones I know of. The ones I would recommend to stay away from though are Warframe (As someone who has put over 4 years into this game, it is not worth the time and effort it requires if you don't
plan to play online. Which even then, is not recommended), Tera, APB Reloaded (This one is a terrible game in general. You'll have a better time trying to run a 4k game on a Windows XP OS than you do trying to get this game to work), and Skyforge (Edited this
since I forgot about this game, even online, I would never recommend this game to people as it's a pure example of "Pay to Win," along with following trends that are poorly implemented into the game).

Recommended Offline Games (Ones that cost): Witcher 3, Dishonored 2, Outer Worlds, Kingdom Hearts 3, Skyrim, Red Dead Redemption 2, Sims 4, and if you want games with a challenge: Code Vein, Dark Souls Remastered,
2: Scholar of the First Sin, 3, and Sekiro.

Indie Games Recommendations (Some do cost, but not as much as Triple A Games):
A Hat in Time, Subnautica (Survival game), Touhou Luna Nights, Bloodstained: Ritual of the Night, Momodora: Reverie under the Moonlight, Ori and the Blind Forest, Risk of Rain, Risk of Rain 2, Shantae and the Pirate's Curse, Shantae: Half-genie Hero,
and Slime Rancher.

With the core services down the only games you can potentially play are in offline mode which would require your Xbox to have the full download and it set to your home console. If the game supports it you could play any campaign mode offline no online
modes of play are available.

You need to open the guide, go to settings and network settings and select go offline.

Any games that can be played offline will be playable. You would need to check which of your games can be played offline.

I am the original owner of this console, which was purchased brand new. I am not trying to connect to xbox live. All I want to do is to play my games offline as to which xbox stated on their website under xbox banned consoles that I could. So, in this
case I contacted microsoft to let them know that I could not play my games offline. They tried to work with me with this situation but nothing work. So to me this is misleading information and therefore I have wasted my money on this. If you go on xbox.com
and read about xbox banned consoles, you will see exactly what I am speaking about where they say that this does not affect the ability to play if someone wants to go offline and play their games. Which I have stated once before that the information is misleading
to the consumers.

Actually if your'e on the same xbox the game was bought on, then any profile can play the game, offline or online. It could just be a licensing issue, try redownloading the game, that may help.