In order of appearance:

ActRaiser:
Fillmore
The Beast Appears
All over the World

Breath of Fire:
Opening Title
Deep Within the Dungeon
Battlefield
Challenge
Decisive Battle

Castlevania - Dracula X:
Bloodlines
Slash
Boss
Den
Illusionary Dance

Contra II: The Alien Wars:
Ground Zero
No Man's Land
The Final Gauntlet (Part 2)

Demon's Crest:
Metropolis of Ruin
Challenge of Devils

Donkey Kong Country:
DK Island Swing
Jungle Groove
Aquatic Ambience
Forest Frenzy
Candy's Love Song
Bad Boss Boogie

Donkey Kong Country 2:
Snakey Chantey
Mining Melancholy
Stickerbrush Symphony
Funky the Main Monkey

Dragon Ball Z: Super Butouden 2:
Son Gohan's Theme
Vegeta's Theme
Piccolo's Theme
Zangia's Theme

F-Zero:
Big Blue
Fire Field
White Land I
Mute City

Gradius III:
Departure for Space
Sand Storm
In the Wind
Fire Scramble
Cosmo Plant
Dark Force
Mechanical Base
Last Struggle

Lufia & The Fortress of Doom:
The Earth
Cave
Battle I
The Ruins of Dread
Battle II
The Island in the Void
Battle III
Four Mad Gods
Last Battle

Lufia II - Rise of the Sinistrals:
The Earth
Cave
Battle I
Labyrinth
Battle II
The Island in the Void
Battle III
Four Gods
Last Battle

Mario Paint:
Opening Credits
Creative Exercise
Flower Garden
Flyswatter ~ Level 1
Monkey Song
Flyswatter ~ Level 2
Data Robot
Flyswatter ~ Level 3
Big Robo Bug

Mighty Morphin Power Rangers:
Main Theme
City
Depot
Building
Cave
Boss

Super Double Dragon:
Mission 5
Mission 3
Mission 2
Casino
Mission 6
Mission 4

Super Mario Kart:
Title Screen
Mario Circuit
Donut Plains
Choco Island
Koopa Beach
Vanilla Lake
Rainbow Road
Battle Mode

Wild Guns:
Carson City
Desolation Canyon
Ammunition Depot
Boss
Gold Mine
Final Fight (Part 1)
Armored Train
Final Fight (Part 2)

Jikkyou Oshaberi Parodius - Forever with Me:
Staff Roll