There are far to many live and compilation albums with Deep Purple and Rainbow out there to list them all so I have only listed the ones I think are interesting and have something unique on it.

DEEP PURPLE - IN CONCERT
Deep Purple In Concert
 CD 1. February 19th 1970
1. Speed King
2. Child In Time
3. Wring That Neck
4. Mandrake Root
 
CD 2. March 9th 1972
1. Highway Star
2. Strange Kind Of Woman

Released: December 1980

3. Maybe I'm A Leo *
and as a 2-CD 1992 4. Never Before
  5. Lazy
  6. Space Truckin'
* Bonus track on the CD edition 7. Smoke On The Water *
  8. Lucille
Recorded by BBC Radio February 19th 1970 and March 9th 1972 at the Paris Theatre in London, England  
   
   
RAINBOW - FINYL VINYL
Finyl Vinyl
 1. Spotlight Kid
2. I Surrender
3. MISS Mistreated
4. Street Of Dreams *
5. Jealous Lover (studio)
6. Can't Happen Here
7. Tearin' Out My Heart *
8. Since You Been Gone
9. Bad Girl (studio)
Released: 1986 10. Difficult To Cure
  11. Stone Cold
  12. Power
  13. Man On The Silver Mountain
  14. Long Live Rock 'n' Roll
  15. Weiss Heim (studio)
* Bonus track on the remastered CD-edition
Recorded between 1978-1984. Some tracks are recorded live and some are studio tracks
 
   
   
DEEP PURPLE - SCANDINAVIAN NIGHTS
Scandinavian Nights
 1. Wring That Neck
2. Speed King
3. Into The Fire
4. Paint It Black
5. Mandrake Root
6. Child In Time
7. Black Night
 
 
Released: 1988  
Recorded live at Konserthuset, Stockholm, Sweden November 12th 1970
   
   
   
DEEP PURPLE - KNEBWORTH 85 IN THE ABSENCE OF PINK
Knebworth 85
 CD 1
1. Highway Star
2. Nobody's Home
3. Strange Kind Of Woman
4. Gypsy's Kiss
5. Perfect Street Rangers
6. Lazy
7. Knocking At Your Door
CD 2
Released: July 1991 1. Space Truckin'
  2. Difficult To Cure
  3. Speed King
  4. Black Night
  5. Smoke On The Water
Recorded live on June 22nd 1985 in Knebworth, England (in the mud) 
   
   
   
DEEP PURPLE - LIVE IN JAPAN
Live In Japan
 CD 1. Osaka 15th August 1972
1. Highway Star
2. Child In Time
3. The Mule (drum solo)
4. Strange Kind Of Woman
5. Lazy
6. Space Truckin'
7. Black Night (encore)
 
Released: 1993 CD 2. Osaka 16th August 1972
  1. Highway Star
CD 3. Tokyo 17th August 1972 2. Smoke On The Water
1. Highway Star 3. Child In Time
2. Smoke On The Water 4. The Mule (drum solo)
3. Child In Time 5. Strange Kind Of Woman
4. Strange Kind Of Woman 6. Lazy
5. Lazy 7. Space Truckin'
6. Space Truckin'  
7. Speed King (encore)  
Recorded live in Osaka, August 15th/16th and in Tokyo, August 17th 1972
   
   
   
DEEP PURPLE - GEMINI SUITE LIVE
Gemini Suite
 1. First Movement: Guitar, Vocals
2. Second Movement: Organ, Bass
3. Third Movement: Drums, Finale
 
 
 
 
 
 
Released: 1993  
Recorded live at The Royal Festival Hall, London, England, September 17th 1970
with "The orchestra Of Light" Conducted by: Malcolm Arnold
   
   
   
DEEP PURPLE - IN CONCERT WITH THE LONDON SYMPHONY ORCHESTRA
CD 1
1. Pictured Within
2. Wait A While
3. Sitting In A Dream
4. Love Is All
5. Via Miami 
6. That's Why God Is Singing The Blues
7. Night Meets light
8. Take It Off The Top
Released: 2000 9. Wring That Neck
  10. Pictures Of Home
CD 2  
1. Concerto For Group And Orchestra - Movement I
2. Concerto For Group And Orchestra - Movement II
3. Concerto For Group And Orchestra - Movement III
4. Ted The Mechanic  
5. Watching The Sky  
6. Sometimes I Feel Like Screaming
7. Smoke On The Water  
Recorded at The Royal Albert Hall, London, England. 25th & 26th September 1999 
   
   
   
DEEP PURPLE - LIVE ROTTERDAM AHOY
Live Rotterdam Ahoy
 1. Introduction
2. Pictured Within
3. Sitting In A Dream
4. Love Is All
5. Fever Dreams
6. Rainbow In The Dark
7. Wring That Neck
8. Fools
9. When a Blind Man Cries
Released: 2001 10. Ted The Mechanic
  11. The Well Dressed Guitar
  12. Picture Of Home
  13. Sometimes I Feel Like Screaming
  14. Perfect Strangers
  15. Smoke On The Water
  16. Black Night
  17. Highway Star
Recorded live October 20th 2000 at the Rotterdam Ahoy, Rotterdam, Holland,
   
   
   
DEEP PURPLE - THE SOUNDBOARD SERIES 12 CD set
The Soundvboard Series
 Six concerts recorded during the Australasian Tour 2001
CD 1& 2: March 9, 2001 - Melbourne Rod Laver Arena, Australia
CD 3 & 4: March 13, 2001 - Wollongong Entertainment Centre, Australia
CD 5 & 6: March 14, 2001 - Newcastle Entertainment Centre, Australia
CD 7 & 8: March 20, 2001 - Coliseum, Hong Kong, China
CD 9 & 10: March 24, 2001 - International Forum, Tokyo, Japan with Orchestra
CD 11 & 12: March 25, 2001 - International Forum, Tokyo, Japan with Orchestra
Released: 2002