Open Culture has a post listing the top 74 books, as suggested by Jorge Luis Borges, a reader should have in their personal library.
(click on the image to be redirected to the posting at Open Culture)
Some of the items I am quite familiar with, but some I had not heard of – neither generally nor in connection with JLB.
“Jorge Luis Borges’ terse, mind-expanding stories reshaped modern fiction. He was one of the first authors to mix high culture with low, merging such popular genres as science fiction and the detective story with heady philosophical discourses on authorship, reality and existence. His story “The Garden of the Forking Paths,” which describes a novel that is also a labyrinth, presaged the hypertextuality of the internet age. His tone of ironic detachment influenced generations of Latin American authors. The BBC argued that Borges was the most important writer of the 20th century.
Of course, Borges wasn’t just an author. When not writing fiction, Borges worked as a literary critic, occasional film critic, a librarian, and, for a spell, as the director of the Biblioteca Nacional in Buenos Aires. His tastes were famously eclectic….
1. Stories by Julio Cortázar (not sure if this refers to Hopscotch, Blow-Up and Other Stories, or neither)
2. & 3. The Apocryphal Gospels
4. Amerika and The Complete Stories by Franz Kafka
5. The Blue Cross: A Father Brown Mystery by G.K. Chesterton
6. & 7. The Moonstone by Wilkie Collins
8. The Intelligence of Flowers by Maurice Maeterlinck
9. The Desert of the Tartars by Dino Buzzati
10. Peer Gynt and Hedda Gabler by Henrik Ibsen
11. The Mandarin: And Other Stories by Eça de Queirós
12. The Jesuit Empire by Leopoldo Lugones
13. The Counterfeiters by André Gide
14. The Time Machine and The Invisible Man by H.G. Wells
15. The Greek Myths by Robert Graves
16. & 17. Demons by Fyodor Dostoyevsky
18. Mathematics and the Imagination by Edward Kasner
19. The Great God Brown and Other Plays, Strange Interlude, and Mourning Becomes Electra by Eugene O’Neill
20. Tales of Ise by Ariwara no Narihara
21. Benito Cereno, Billy Budd, and Bartleby, the Scrivener by Herman Melville
22. The Tragic Everyday, The Blind Pilot, and Words and Blood by Giovanni Papini
23. The Three Impostors
24. Songs of Songs tr. by Fray Luis de León
25. An Explanation of the Book of Job tr. by Fray Luis de León
26. The End of the Tether and Heart of Darkness by Joseph Conrad
27. The Decline and Fall of the Roman Empire by Edward Gibbon
28. Essays & Dialogues by Oscar Wilde
29. Barbarian in Asia by Henri Michaux
30. The Glass Bead Game by Hermann Hesse
31. Buried Alive by Arnold Bennett
32. On the Nature of Animals by Claudius Elianus
33. The Theory of the Leisure Class by Thorstein Veblen
34. The Temptation of St. Antony by Gustave Flaubert
35. Travels by Marco Polo
36. Imaginary lives by Marcel Schwob
37. Caesar and Cleopatra, Major Barbara, and Candide by George Bernard Shaw
38. Macus Brutus and The Hour of All by Francisco de Quevedo
39. The Red Redmaynes by Eden Phillpotts
40. Fear and Trembling by Søren Kierkegaard
41. The Golem by Gustav Meyrink
42. The Lesson of the Master, The Figure in the Carpet, and The Private Life by Henry James
43. & 44. The Nine Books of the History of Herodotus by Herdotus
45. Pedro Páramo by Juan Rulfo
46. Tales by Rudyard Kipling
47. Vathek by William Beckford
48. Moll Flanders by Daniel Defoe
49. The Professional Secret & Other Texts by Jean Cocteau
50. The Last Days of Emmanuel Kant and Other Stories by Thomas de Quincey
51. Prologue to the Work of Silverio Lanza by Ramon Gomez de la Serna
52. The Thousand and One Nights
53. New Arabian Nights and Markheim by Robert Louis Stevenson
54. Salvation of the Jews, The Blood of the Poor, and In the Darkness by Léon Bloy
55. The Bhagavad Gita and The Epic of Gilgamesh
56. Fantastic Stories by Juan José Arreola
57. Lady into Fox, A Man in the Zoo, and The Sailor’s Return by David Garnett
58. Gulliver’s Travels by Jonathan Swift
59. Literary Criticism by Paul Groussac
60. The Idols by Manuel Mujica Láinez
61. The Book of Good Love by Juan Ruiz
62. Complete Poetry by William Blake
63. Above the Dark Circus by Hugh Walpole
64. Poetical Works by Ezequiel Martinez Estrada
65. Tales by Edgar Allan Poe
66. The Aeneid by Virgil
67. Stories by Voltaire
68. An Experiment with Time by J.W. Dunne
69. An Essay on Orlando Furioso by Atilio Momigliano
70. & 71. The Varieties of Religious Experience and The Study of Human Nature by William James
72. Egil’s Saga by Snorri Sturluson
73. The Book of the Dead
74. & 75. The Problem of Time by J. Alexander Gunn”(accessed 11 October 2015)
PHANTOM LANDSCAPES 
An interesting, eclectic list, most of which is beyond the scope of my personal reading. Thanks for the post.