Or if not, what is a good app from the play store to do this?
There's an FM radio station I listen to very often, and I really like the way they mix the songs. Much better than simply shuffling my music. I happen to have the vast majority of the songs they play, all properly tagged mp3's @ 320kbps.
I have a 3200 PMPO Kenwood music amplifier which I purchased way back in the year 2000 and it still works fine. However, now a days I mainly use it to listen to FM radio.
Prior to Sony Xperia M Dual, which I own now, I had Nokia X2-02. Nokia X2-02 had an inbuilt application known as "Play via Radio".