Despite the flaws, Gotham Knight is worth a run through, as there are some truly great Batman moments to be had. In the "Deadshot" short, Bruce Wayne can be seen training with firearms, when questioned by Alfred, he makes a speech about needing to understand guns to fight effectively and respecting their power, even if he'll never use one. Across two stories, Batman defuses a mob war by negotiating a division of territory; what fucking genius. Rather than getting himself killed taking on two factions of local organised crime, Batman forces them to accept an agreement to stay out of each others' way to save lives in the short-term until he and the GCPD are better equipped to deal with the problem. In the comics, I'm pretty sure Batman would just run in and beat all of the mobsters down in a couple of minutes whilst ranting about his dead parents. God I'm sick of Batman.
By far the best short in the anthology is "Let me tell you a story...", in which a group of Gotham children tell each other of their encounters with Batman. One child describes Batman as a living shadow, one as a vampire and one as a robot, with each description showcasing one of Bats' major skills (stealth, agility and combat prowess). In a setting where Batman is a new phenomenon, this kind of storytelling makes a lot of sense and creates a good mystique for the character without resorting to elevating his skills to mythical levels. Despite the references to the Nolan trilogy, I'm more inclined to think of Gotham Knight being linked to Batman the Animated Series, not just because of the animation but Kevin Conroy voices the Dark Knight in several shorts and the more "realistic" take on the character works for that continuity.