There are two Borgesian themes that I think I worth teasing out:
1) The Aphoristic quality of Borges writing: Having Aphoristic quality is desirable for all would-be writers of literature, whether it be prose, poetry or song lyrics. The Aphorism is something that ties together Classic, Christian/Muslim/Jewish/Buddhist/Hindu Religious and Modern civilization together- everyone loves a good aphorism.
2) The Non-Specificity/Vagueness of Borges writing: I think there is probably a history of treating Borges as a "sui generis" type of writer, when in reality, like all other innovators, he drew on a variety of disparate influences to create a new whole. Regardless- detaching literature from specific time and places and transplanting events to a) the distant past b) the distant future or c) some other universe is not only a tried-and-true literary technique vetted by the guardians of "high art," it's also appreciated by the mass audience- see Science Fiction and Historical Drama, to give but two examples of many. The vaguer you are, the more universal the appeal.