This definitely isn't my area of expertise but, since nobody else seems to be replying, I'll have a go anyway:
This lists all Xbox 360 games, sorted by release date (so that the latest ones appear first):
http://marketplace.xbox.com/en-gb/Games/Xbox360Games?sortby=ReleaseDate
You can then use the filters down the left to select the type of games which the guy is most likely to enjoy.
If in doubt, try 'Racing & Flying', as such games tend to appeal to most male Xbox fans. However there's nothing from 2016 in the list. For a more recent release, which is likely to appeal to a British male (thus possibly ruling out many of the American sports titles), consider Pro Evolution Soccer 2017:
http://marketplace.xbox.com/en-gb/Product/PES-2017/66acd000-77fe-1000-9115-d8024a3007d1
However you don't need to download it from that site. It's available on physical media (for less money) on Amazon:
Amazon.co.uk User Recommendation