Bomber Boy had no Super Game Boy support, and hence no unique palette. Bomberman Collection rectifies this with a warm orange hue to replace the boring greys. It has no unique border, however - it keeps the border from the menu screen.
For whatever reason, Bomberman Collection has trouble running in a few emulators, namely VisualBoyAdvance. If you select one of the three games, it will reset back to the title screen.
Using KiGB will successfully emulate the games without hassle.