(Even though even his "solo" releases were also accompanied by different musicians..)
I will also include songs by The Wrong Demons (formed in 2010).
*btw, I'm gonna only focus here on songs that don't appear on the albums
Asaf Avidan & The Mojos are:
Asaf Avidan - Vocals and Guitar
Ran Nir - Bass
Joni Snow - Drums & Percussion
Roi Peled - Lead Guitar
Hadas Kleinman - Cello
The quintet's MySpace: http://www.myspace.com/findlovenow
I won't list all of the officially released songs, both because I'm lazy, and because I wanna focus on less official songs.
So here are just last.fm links to the official albums:
June 1, 2006: Asaf Avidan - Now That You're Leaving (EP)
March 20, 2008: Asaf Avidan & The Mojos - The Reckoning