Almost surprisingly, one of the biggest announcements to come out of the 2015 Electronic Entertainment Expo was that Microsoft would be adding backwards compatibility to the Xbox One later this year so that it can play games from the Xbox 360 library.
To this end, the company wants to know what its customers want. From Xbox Feedback:
Xbox One Backward Compatibility is here. Now you can play a growing number of your Xbox 360 games on Xbox One at no additional cost.
With new games added to the roster every month, now you can play both generations of games on one console. Experience the greatest games lineup in Xbox history — exclusively on Xbox One.
We can’t promise every title will be available, but we’re working hard to make as many of your favorite Xbox 360 titles playable on Xbox One.
Among the titles eligible are the two sole Blue Bomber episodes, Mega Man 9 and Mega Man 10 from the Xbox Live Arcade library. With Mega Man Legacy Collection on the way to the platform later this year, this is as good an opportunity as we're likely to see for the immediate future to have eight of the ten main Classic series entries in one spot.
By way of a tip from "Rockman," you can find the page to vote for these titles (and many others) here.
On a related note: Mega Man 9 and 10 can both be played on the Wii U through the system's Wii Mode, whereas Sony continues to have little interest in bringing such a feature to their PlayStation 4.