vgmrips

There is a special tools for music ripping by lunasorcery, but I do not know which other GBA games supports sound engine by Engine Software. Here are the games that I know, which supports this sound engine:

Cruis'n Velocity (maybe)
High Heat: Major League Baseball 2002
Army Men: Turf Wars
A Sound of Thunder
LEGO Bionicle: Matoran Adventures
Spirits & Spells / Castleween
Star X (maybe)
Zoocube (maybe)
Rocky
The Muppets: On with the Show
High Heat: Major League Baseball 2003
Invader (maybe)
Black Belt Challenge (maybe)
Space Invaders (maybe)
Dr. Muto
xXx
Wakeboarding Unleashed featuring Shaun Murray
Activision Anthology
Terminator 3: Rise of the Machines
Premier Manager 2003-04
Ultimate Beach Soccer
Sega Arcade Gallery
Pirates of the Caribbean: The Curse of the Black Pearl
Star Wars: Flight of the Falcon
Drome Racers
Barbie Horse Adventures: Blue Ribbon Race
Max Payne
American Idol
LEGO Bionicle: The Game
Spy Muppets: License to Croak
Piglet's Big Game
CT Special Forces 3: Bioterror
Sitting Ducks
Wade Hixton's Counter Punch
Cartoon Network Block Party (maybe)
James Pond: Codename RoboCod
Ty The Tasmanian Tiger 2: Bush Rescue
Ty The Tasmanian Tiger 3: Night of the Quinkan
Winnie The Pooh's Rumbly Tumbly Adventure
The Legend of Spyro: A New Begining
Avatar: The Last Airbender
Barnyard
Nicktoons: Battle for Volcano Island
Santa Clause 3: The Escape Clause
Avatar: The Last Airbender - The Burning Earth
Nicktoons: Attack of the Toybots
High School Musical: Livin' the Dream

Doubtful, but more like GBAModPlay/LS_Play:

Need for Speed: Underground
Titeuf: Ze Gagmachine
Titeuf: Mega Compet
Backyard Hockey
Backyard Basketball
Mucha Lucha! Mascaritas of the Lost Code
Duel Masters - Sempai Legends
Backyard Basketball 2007
FIFA 2004
FIFA 2005
FIFA 06
FIFA World Cup Germany 2006
FIFA 07

Unreleased:

Artifact
Fuzz and Rocket
Xyanide Advance
The Haunted Mansion
High Heat: Major League Baseball 2004

This is necessary in order to know which soundtracks are worth ripping using the tools by lunasorcery. If anyone else remembers any games, write to me about it here.

Later I talked to Scott Rob Rubin, who used these tools. He confirmed some of the games from the supposed list. So I will update the list:

Army Men: Turf Wars
A Sound of Thunder
Spirits & Spells / Castleween
Titeuf: Ze Gagmachine
Mr. Nutz
Dr. Muto
xXx
Rocky
The Muppets: On with the Show
Butt-Ugly Martians: B.K.M. Battles
Robot Wars: Extreme Destruction
Mission: Impossible - Operation Surma
Moto Racer Advance
Wakeboarding Unleashed featuring Shaun Murray
Activision Anthology
Agassi Tennis Generation
Terminator 3: Rise of the Machines
Premier Manager 2003-04
Sega Arcade Gallery
Backyard Hockey
Mucha Lucha! Mascaritas of the Lost Code
Pirates of the Caribbean: The Curse of the Black Pearl
Star Wars: Flight of the Falcon
Drome Racers
Barbie Horse Adventures: Blue Ribbon Race
Max Payne
American Idol
LEGO Bionicle: The Game
Spy Muppets: License to Croak
FightBox
Bookworm
Super Collapse! II
Super Bubble Pop
Bratz
Cartoon Network Speedway
Dragon Ball Z: Taiketsu
Piglet's Big Game
Looney Tunes: Back in Action
CT Special Forces 3: Bioterror
Sitting Ducks
Wade Hixton's Counter Punch
Cartoon Network Block Party
Fear Factor: Unleashed
XS Moto
Backyard Basketball
Titeuf: Mega Compet
Duel Masters - Sempai Legends
James Pond: Codename RoboCod
Ty The Tasmanian Tiger 2: Bush Rescue
Ty The Tasmanian Tiger 3: Night of the Quinkan
Winnie The Pooh's Rumbly Tumbly Adventure
Cinderella: Magical Dreams
Winx Club
Whac-A-Mole
Animaniacs: Lights, Camera, Action!
The Legend of Spyro: A New Begining
Avatar: The Last Airbender
Barnyard
Nicktoons: Battle for Volcano Island
VeggieTales: LarryBoy and the Bad Apple
Hot Wheels: All Out
Mazes of Fate
Santa Clause 3: The Escape Clause
Backyard Basketball 2007
Avatar: The Last Airbender - The Burning Earth
Nicktoons: Attack of the Toybots
Math Patrol: The Kleptoid Threat
High School Musical: Livin' the Dream

Unreleased:

Artifact
Xyanide Advance
The Haunted Mansion
Flashback Legends
Three Tribes
Bejeweled
Fuzz and Rocket
Oggy and the Cockroaches
Math Patrol: The Venus Virus

I think it's definitely all the games that support this sound engine.