I like the music in Crazy Taxi 3. I really do. The tracks puzzled me a bit though, as I didn't know who did these tracks. Of course, the authors are written down in the ending credits, as well as SEGA's website, but it's only a list of them, it does not tell which track is which. So I thought I'll do a bit of search, and write up a list. I might not be the only person looking for this, who knows.

Note that I used the PC version of Crazy Taxi 3 for reference - you can open the music of the game easily as it is in OGG Vorbis.
Also, the PC version used different music then the punkrock crap of the Arcade/DC/PS2/Xbox versions throughout the series.

m01.ogg - main menu music
Dunamus - Ordinary (instrumental)

m02.ogg - West Coast cabbie select
??????

m03.ogg - West Coast 1
Pivit - Middle Children

m04.ogg - West Coast 2
Total Chaos - What You Gonna Do

m05.ogg - West Coast 3
Total Chaos - Let It Roll (not sure on this one)

m06.ogg - West Coast ending
Pivit - Fingercuffs

m07.ogg - Glitter Oasis cabbie select
The Kings of Nuthin' - La Chupacabra

m08.ogg - Glitter Oasis 1
The Kings of Nuthin' - Where do we go?

m09.ogg - Glitter Oasis 2
13 Cats - Jungle Man - Robot Girl

m10.ogg - Glitter Oasis 3
The Briggs - Face Off

m11.ogg - Glitter Oasis ending
The Kings of Nuthin' - Drive All Night

m12.ogg - Small Apple cabbie select
SX-10 - Pity

m13.ogg - Small Apple 1
Pivit - CyberChrist

m14.ogg - Small Apple 2
Psychotic Youth - Keep You Running

m15.ogg - Small Apple 3
Pivit - Redo

m16.ogg - Small Apple ending
SX-10 - Pity

Music credits: (taken from the ending staff roll)

"CyberChrist"
Performed by Pivit
Written by Chris Lewis, Chris Moore, Micah Alboa, Adam Rapps
  and James Bannister
From the album "Thanks for Coming Back"
Courtesy of Pivit
By arrangement with Media Creature Music
www.pivit.com

"Drive All Night"
Performed by The Kings of Nuthin'
Written by Zack Brines
From the album "Fight Songs"
Courtesy of Disaster Records
By exclusive arrangement with Media Creature Music

"Face Off"
Performed by The Briggs
Written by Jason LaRocca and Joey LaRocca
From the album "Numbers"
Courtesy of Disaster Records
By exclusive arrangement with Media Creature Music
www.disasterrecords.com

"Fingercuffs"
Performed by Pivit
Written by Chris Lewis, Chris Moore, Micah Alboa, Adam Rapps
  and James Bannister
From the album "Thanks for Coming Back"
Courtesy of Pivit
By arrangement with Media Creature Music

"Jungle Man - Robot Girl"
Performed by 13 Cats
Written by Danny B. Harvey, Tim Worman, and Slim Jim Phantom
From the album "13 Tracks"
Courtesy of Cleopatra Records
By arrangement with Media Creature Music

"Keeps You Running"
Performed by Psychotic Youth
Written by Jorgen Westman
From the album "Steroids"
Courtesy of Bomp Records
By exclusive arrangemenit with Media Creature Music
www.bomp.com

"La Chupacabra"
Performed by The Kings of Nuthin'
Written by Justin Chubbard (The Kings of Nuthin')
From the album "Fight Songs"
Courtesy of Disaster Records
By exclusive arrangement with Media Creature Music

"Let It Roll"
Performed by Total Chaos
Written by Robert Clawson and Shawn Bodden
From the album "In God We Kill"
Courtesy of Cleopatra Records
By arrangement with Media Create

"Middle Children"
Performed by Pivit
Written by Chris Lewis, Chris Moore, Micah Alboa, Adam Rapps
  and James Bannister
From the album "Thanks for Coming Back"
Courtesy of Pivit
By arrangement with Media Creature Music

"Ordinary" (Instrumental)
Performed by Dunamus
Written and produced by Nathanel Lew
Courtesy of Media Creature Music
www.dunamusrock.com

"Pity"
Performed by SX-10
Written by Senen Reves, Jeremy Fleener, Andy Zambrano
  and Sean McCormick
Courtesy of Latin Thug Records
By arrangement with Media Creature Music
www.sx10.com / www.srh.com

"Redo"
Performed by Pivit
Written by Chris Lewis, Chris Moore, Micah Alboa, Adam Rapps
  and James Bannister
From the album "Thanks for Coming Back"
Courtesy of Pivit
By arrangement with Media Creature Music

"What You Gonna Do"
Performed by Total Chaos
Written by Robert Clawson and Shawn Bodden
From the album "In God We Kill"
Courtesy of Cleopatra Records
By arrangement with Media Creature Music

"Where Do We Go?"
Performed by The Kings of Nuthin'
Written by Justin Chubbard (The Kings of Nuthin')
From the album "Fight Songs"
Courtesy of Disaster Records
By exclusive arrangement with Media Creature Music