YouTubers have posted a full comparison of the last-gen and current-gen versions of Call of Duty: Black Ops 3 today. As noted, the last-gen version of Black Ops 3 doesn’t have a campaign, and the performance is lacking as well.
In addition, the back of the box art on the last-gen versions of Black Ops 3 don’t have any in-game images, rather showing off concept art. The current-gen versions have in-game screenshots. Here’s a pic from @VG_Dave:
Here’s a video comparing Xbox 360 and Xbox One versions: