Loud and Live

I like Ian Hunter and his band Mott the Hopple. Live King Biscuit .........

Aside from most classic live recordings sounding somewhat inferior by todays recording standards, my faves are:

Thin Lizzy -Live and Dangerous
Scorpions -Tokyo Tapes
Pat Travers -Go for What you Know

I typically prefer digital but for old live recordings, it's got to be vinyl...

Many good ones have been mentioned. Also try:
Little Feat "Waiting for Columbus"
J. Geils Band "Full House"
Peter Frampton "Frampton Comes Alive"
Yes "Yessongs"
Emerson Lake and Palmer "Works"
Not exactly rock but:
Commander Cody "Live From the Armadillo Headquarters"

Dixie Dregs- Live

Rainbow Live! This is the one recorded in Germany. This is one of the best line-ups, and best no holds barred Rock and Roll albums of all time. Ronnie James Dio has a voice the size of Texas inspite of his diminutive size. Cozy Powell must have beat his way through several drum kits. Tony Carey is a wizard on the keyboards. Ritchie Blackmore was at a creative pinnacle he has not equaled before or since. Only Jimmy Bain on the bass was average.
If you want to rock spin this disc!!! Led Zeppelin, Deep Purple, AC DC, and any of the pretenders fall short of this outing.
Many bands have put out good LPs, few if any have equaled this one.