Sarunoni

Hey...how's it going?
So, it was recently brought to the forefront of my attention that I don't really have a consistent, favorite or really even preferred genre of music. It seems to shift based on what I've been listening to most recently. There's the introduction/premise of the following question:

I would like to find a way of listening to as much variety of music without having to pick the genre each time. Ideally, it would play like a radio station, but instead of having a theme or particular genre, it would just play songs from a massive library in as random a way as manageable. It would have the capability of playing a rap song, followed by classical, country, something from the 30's, some recent pop sing, etc...all without batting an eye and ideally with no choices made by me as far as genre, artist or the like. That last point is especially important, because I know if I had to make any choices my biases would get in the way.

Long story short, is there a way to basically listen to all known recorded music with a giant shuffle button? (well, all known music is an exaggeration...but you get the idea)