How can I see my All Access Radio play history? There are several songs I heard last night that I wish to purchase, but I don't know the artist/track names!
While Google does store this data it's not easily accessible to regular users and they only display what Station or Album you were listening to not the songs on that list (Under /Recent).
While this doesn't help the current situation I would recommend checking out Daniel Slaughter's Google Play with Last.fm project which via script allows you to Scrobble what you are playing to Last.fm. While it's not a perfect solution (and it does have some issues) if this is something you want to use it is better than nothing until Google implements a solution.