Backwards Compatible Games Not Launching (Xbox Series X)

Anything that currently works on Xbox one with very few exceptions will work on series X. If a game is not currently backwards compatible, the backwards compatibility program is currently suspended until after the series X launch with no guarantee to resume.

And, if it were not backwards compatible, you might have to wait until the release of Xbox Series X, as they have said they have stopped working on bringing Backwards Compatible titles to Xbox One until the Series X launch to get Backwards Compatibility
up and running on the Series X. Form there, I imagine they will move back to bringing titles to both Series X and Xbox One for a few more years.

No further backward-compatible releases are planned as the team prepares for the launch of Xbox Series X. Reportedly, the Series X will be fully backward compatible with any release on the previous consoles, so there is a chance that it may well be playable.

Xbox has put the backwards compatibility program on hold until after the launch of the Series X (at least that's my theory) there is more that goes into making a game backwards compatible, too though.

Hi, as of now the porting of xbox 360 games on xbox one have been temporary suspended, because the team is working on the backward compatibility for the next gen consoles (xbox series x).

Unfortunately there is no way to directly suggest some game for the backward compatibiity, maybe you should wait until series x launch and then hope that they add Max Payne 3 as a backward compatible game.