It's not FOSS, but Plex does that. I host my music from a server I built at home (you can literally just use your desktop PC) and then I have access to it from anywhere. I like to stream it to the Plexamp app on my phone, which I connect to my car via Bluetooth, then I have my own homemade "radio" on the go. No ads, just my own music that I can shuffle through.

I paid for the Lifetime Plex Pass, which gave me full access to all their features and apps. It's expensive, but it's a one-time payment, vs. their monthly subscription which can add up over time.

I actually got annoyed at Plex for remembering exactly where I was in every song. I'd return to an album I hadn't heard in a while and it would skip right to where I left off in each song instead of playing from the beginning of the song

Sometimes while trying to find a particular song, I'd skip around in a track, then move to the next until I found it. Then when I returned to that album later, every song would start somewhere in the middle. I eventually needed to turn that feature off. It still remembers exactly where I left off the last time I played music, but it doesn't save my place in each individual song anymore. Just the last one I played.

On the app, it keeps a list of all the playlists I've recently played, so I can pick up on my latest playlist or scroll back in the history and start up one I played a while ago. This is great because I like to just shuffle my entire library as a playlist while I'm mowing my lawn, but my wife likes to hear specific genres or bands while we're riding in the car together. So I can just keep alternating back and forth between playlists depending on the situation and it remembers where I left off in each one.