Alternatively, you could check out his non-fiction, say Selected Non-Fictions (https://www.amazon.com/Borges-Selected-Non-Fictions-Jorge-Lu...). Checking the table of contents, I particularly like "A New Refutation of Time" (Available from Gwern: https://www.gwern.net/docs/borges/1947-borges-anewrefutation...), "Pascal's Sphere" (also available: https://www.gwern.net/docs/borges/1951-borges-pascalssphere....), and the lecture "Blindness" (https://www.gwern.net/docs/borges/1977-borges-blindness.pdf; there may be some copyright issues here).

Borges is most widely read for his fiction, but his Selected Non-Fictions[1] is life altering. Through his collection of nonfiction essays, one can begin to appreciate his unique place among 20th-century writers.

[1]: http://www.amazon.com/Borges-Selected-Non-Fictions-Jorge-Lui...

When you're done with Fictions, do read the other book, "Selected Non-Fictions" http://www.amazon.com/Borges-Selected-Non-Fictions-Jorge-Lui... (not an affiliate link either)

Not only are they excellent pieces in their own right, you can catch occasional glimpses of the evolution of some of his best stories as well. The biography of Paul Valéry, for instance, foreshadows Pierre Menard.