Enterprise *really* dropped the ball by not doing a Kobayashi Maru origin story, showing us Archer's Enterprise making the real rescue that inspired the test.
The post-series novels tried it (Archer retreated), but that book wasn't very good, and more interested in keeping continuity with 80's fan-made blueprints (where the Kobayashi Maru was an old refitted Klingon ship being used by human traders) than the series itself (where Human/Klingon first contact had only been a few years prior)
That was bizarrely lacking in drama. All the people hating on Archer and wanting a transfer etc.. for his decision just made no sense. It as quite a let down after the build up of that title.