I've recently grown tired of listening to my individual daily mixes on shuffle so I've started adding all songs in the daily mixes to a Playlist and shuffling that instead so I can have a bit more variety. It could be called Daily Mix Radio as it gives a very broad range of songs to listen to.
It looks like your idea was posted a while ago but, unfortunately, it hasn't gathered the minimum amount of votes to stay active in the Ideas Exchange (50 votes in the first 3 months). I'll mark your idea as "Closed - Not Enough Votes". You can learn more on how the Ideas Exchange works here.