Woodstock is not often thought of as a good Live recording (either movie or soundtrack) but I love it for what it brings in terms of experiencing the abundance of talent gathered together and spirit (of the times). Santana, Suite Judy Blue Eyes (this is only the second time we've performed in front of people, man...We're scared SHITLESS), late night with Family Stone, just to name a few. Also, Richie Havens whom I have enjoyed ever since being introduced to his voice and musical style on that first day.
Better still is the recording of Duke Ellington's All Stars at the Newport in 1956. The recording is scant in terms of what we are used to today as far as sound quality, even from live recordings. But the performance can bring the hairs on the back of your neck up, sensing the excitement of the evening. You can feel the audience's enthusiasm rise in concert with the driving rhythm and break out solos. A stellar moment in the organic American music experience.
Something a little more current... Fleetwood Mac's the Dance. Great performance, great recording.