Here’s a wonderful traditional tune–Dourou, dourou. Several versions were recorded in NYC in the 20s, and I’ve included here as well a great performance of the song from the Melbourne rebetiko festival at Tsindos tavern.
Marika Papagika, NYC, 1928
Leonidas Smyrnios, NYC, 1927
Xarilaos Piperakis, NYC, 1926
And here’s the Papagika version played in Melbourne just this month (@ 38 mins).
You should watch the whole video–these are some talented musicians (more Πλήρη Ντάξει here).