Other pieces which suggest Allen as a tongue-in-cheek Borges include "The Metterling Lists"(GE), a review of a book analyzing Hans Metterling's laundry lists, and "By Destiny Denied" (SE), containing notes towards the 800 page novel "they're all waiting for." Like Barthelme, Allen is also a fan of mixing high and low culture, as in "If the Impressionists Had Been Dentists"(WF), "Thus Ate Zarathustra"(MA), and "Notes from the Overfed"(GE), inspired by Dostoevsky and "a Weight Watchers magazine." Other pieces include comic variations on established genres like Hassidic tales, Detective fiction, Socratic dialogues, literary memoirs, and Kafkaesque parables and the plays "Death", "God" (both in WF), and "Death Knocks" (GE), which exhibit the familiar style and humor of Allen's early films.
You're bound to get some sense of repetitiveness if you read all four collections (perhaps even a certain motion sickness from too many one-liners, a sort of Schtick-nausea), but even the less successful pieces have at least a line or two of Woody Allenisms which make them worth reading, so if you find the following video enjoyable, I suggest you read them.
Some recent essays by Allen published in The New Yorker (where many of these collected pieces were originally published) are available online, including "Think Hard, It'll Come Back to You" and "Tails of Manhattan," which tells the story of two wealthy Manhattanites bilked by Madoff and reincarnated as lobsters.