But I like his big idea stories too. Absolutely "Tlön, Uqbar, Orbis Tertius" may be his masterpiece. But it's dense for an introduction to the author. Contrast this with "The Secret Miracle" which also has a beautiful big idea, but it's so elegantly small. in a sense the whole story fits into just one second.
Finally, I went overboard and calculated the number of books on the shelves in "the library of babel". I remember distinctly that the story made our very real universe feel small for the first time in my life. and to think, I barely scratched the surface. a whole book was published about the math in that one story alone: "The Unimaginable Mathematics of Borges' Library of Babel" by William Goldbloom Bloch.
If you like the stories within, their original collections are exceptional (esp. The Aleph and Ficciones).
I still remember reading "The House of Asterion" (two pages) [1] and falling in love with Borges.
[0] https://en.wikipedia.org/wiki/Labyrinths_(short_story_collec...
[1] https://klasrum.weebly.com/uploads/9/0/9/1/9091667/the_house...
The above are enjoyable for beginners - even though of course there are many more layers of meanings than are first apparent in those stories. But that deeper enjoyment can come later. They´re formidable narratives in their own right.