Listen to (and maybe use as listening activities in your class) these songs composed by students in Belarus, Tajikistan, and Russia.  The students wrote the words, created the music (by arranging “loops”–pre-recorded bits of music), and sang the songs. These are entirely original compositions, done in a single session by non-native English speakers.

If other EFL/ESL students around the world are creating original music, I’d be glad to hear about them and post them on this site if they are short and appropriate (and funny).