Is there any way to connect a record player (RCA outputs) to AirPlay speakers?
Now I have figured out a simple and reasonably cheap solution for Airplay that does not require a computer, paid apps and similar, only a cable, that have multiple other uses, and an iOS device not in use while listening (depending on the circumstances I use either my iPhone or my iPad), see this

http://davidbo.livejournal.com/795.html (It is added to the Wayback Machine so it won't disappear).

Some non-dealbreaking minor issues remains, I will update that article when I find solutions to them.