There's a video the song "Break This Time" on the PBS: Austin City Limits page, along with this description -
"Few contemporary artists inspire the degree of rapturous critical praise, without the accompanying fame and fortune, as Alejandro Escovedo. Back in form after a near-death battle with Hepatitis C, the eclectic, imaginative songwriter and his extraordinary band perform songs from The Boxing Mirror, praised by Billboard as “a masterwork from one of the genuine lights in rock music.”"
You can download an MP-3 file of his song "Five Hearts Breaking" from his album "Gravity" at Alejandro Escovedo.com.
He has a page on myspace.com with the songs "Arizona", "Baby's Got New Plans", "Castanets" and "Break This Time".
If you are interested in buying any of his music here's a link to Amazon's page for Alejandro Escovedo