If someone told me they were interested in starting to listen to jazz, and wanted to know what some of the good albums are, I wouldn't know where to start without some thought. Jazz refers to such a wide range of styles, that it's almost a shame to pigeonhole them all under the label "jazz." I think what I would first do is think about how they relate with music. If they're a dancer, that's one thing, I'd probably recommend either a latin jazz album like a Mongo Santamaria or a swing album like a Glenn Miller. If they mostly relate to music through lyrics and listen to pop music, I would look for something that has more lyrics, perhaps a blues singer like Billie Holiday. I might point someone who liked rock or funk to Weather Report. Etc. I'm not comfortable saying "here are some of the best jazz albums."
If you like Miles Davis, then you probably like bebop and the kinds of music that grew out of it and/or are related to it. Thelonius Monk is a great choice for bebop, as is John Coltrane, etc. JJ Johnson is a great trombone player in this area. Charles Mingus takes in things from lots of different styles but is quite obviously influenced by earlier bebop. I'm kind of surprised that these are the kinds of things people are mostly talking about in this topic, because bebop is a less popular listening music with no words- so you can't dance and there's no lyrics (usually). That cuts off most people who relate to music through lyrics and possibly dance, rather than listening (really sitting down and listening) and maybe playing.