A Plugin that Plays All Audio File in my website

I am the owner of the website jesongs.com and I would like to have all the songs listed on this website to have a play all button where all the songs on the plays like a playlist. Also when any new song is added, it should be added to the so called playlist.

If it will be possible, I will like if the plugin can also select all the songs per there categories and play all.

I wish there could be any plugin that has solved this before. If you anyone, please share.

Thanks