I am not a fan of 'classic' tango, per se; however, I'm a huge fan of Piazolla and his 'new' tango. I highly reccommend the following disks, all excellent recordings:
Astor Piazolla on Nonesuch Records:
The Rough Dancer and the Cyclical Night
La Camorra
Tango Zero Hour
(studio recordings with his famed 'New Tango Quintet')
Sergio and Odair Assad Play Piazolla:Nonesuch
Eroica Trio:Passion:Angel Records
Dino Saluzzi & Rosamunde Quartet:Kultrum:ECM New Series
Kronos Quartet w/Astor Piazolla:Five Tango Sensations:Elektra Nonesuch
Gidon Kremer has made a number of wonderful Piazolla records, all on Nonesuch:
Astor Piazolla: The Tango
Maria de Bunos Aries
Tango Ballet
Tracing Astor
Hommage a Piazolla
Astor Piazolla on Nonesuch Records:
The Rough Dancer and the Cyclical Night
La Camorra
Tango Zero Hour
(studio recordings with his famed 'New Tango Quintet')
Sergio and Odair Assad Play Piazolla:Nonesuch
Eroica Trio:Passion:Angel Records
Dino Saluzzi & Rosamunde Quartet:Kultrum:ECM New Series
Kronos Quartet w/Astor Piazolla:Five Tango Sensations:Elektra Nonesuch
Gidon Kremer has made a number of wonderful Piazolla records, all on Nonesuch:
Astor Piazolla: The Tango
Maria de Bunos Aries
Tango Ballet
Tracing Astor
Hommage a Piazolla