It actually fits, in its own way, into the psychology of the protagonists in Taxi Driver (that one for the obvious reasons- 'you talking to me') and even the Aviator, by how relentless a certain form of madness can take hold on a person. No matter what Waterston and his love interest try to do, he can't escape seeing things reflected, and then the weird caped creature in the background trying to choke him to death (or something worse, as ends up). What's most striking about Mirror, Mirror- which was originally scripted by Spielberg himself- is how the Hitchcockian impulses work so well. Some bits are obvious, like when Waterston wakes up on the stairs and we see the extreme (tilted) close-up on the eyeball pull back, if not as slow as the more infamous shot. Or just simple pans and sweeps and distorted angles immediately call into mind the master of suspense, and even to a lesser extent the horror pictures of Val Lewton. It's definitely not difficult to see where Scorsese's style is also very apparent too, like in a quick montage of Waterston locking all the doors, or the one shot where he's in prison, the red tints on some shots, and how distorted some angles get like when the woman looks into the many faces of herself in a shattered mirror.
And what's also a lot of fun is seeing an actor like Waterston take on such a crazed role. For an actor mostly known for theater, the occasional dramatic Woody Allen role, and of course Law & Order, I got a big kick out of seeing him flip out and curl up into a little ball of nerves over what may or may not be there behind him, as he very quickly loses his mind. Maybe not one of his best, but I'd it's a lot more exciting than I expected. Although the episode isn't very easy to find on video- maybe it's available now on DVD or pops up on TV from time to time- it shouldn't disappoint Scorsese fans/completists who seek it out, and though I'm not too familiar with the actual Amazing Stories series, it hopefully won't let down the fans either.