This is the kind of improvement you're looking for whenever a new Xbox 360 title hits backwards compatibility. According to the resolution fiends over at Digital Foundry, Call of Duty 2 experiences a significant performance improvement when it is played on the Xbox One. Just how good? Its frame rate doubles to a solid 60 FPS.
Call of Duty 2 arrived on Xbox One's backwards compatibility initiative just two days ago, and the response on the game's performance from the Reddit community has been nothing but positive. Naturally, this is going to set the expectation bar higher going forward than what is likely possible. It's important to understand that Call of Duty 2 was a launch title on the Xbox 360, so it's much easier for the Xbox One's hardware to produce such on upgrade on a relatively primitive game (by today's standards).
Source: [Digital Foundry via Reddit]