I know that a lot of original Game Boy games will play in color,

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You can make it look however you want.
>Implying Left+B isn't the best option anyway

>>3839427
I used to play with right+B as a kid. I'm glad I grew out of that.

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>>3839414
This is what the game looks like when you boot it in Gambatte.
Generally, when you boot a GB game on GBC, you get the default dark green palette. You can choose the one you want the way others have desribed.
But, quite a few of the most popular Nintendo titles, for instance SML, Kirby DL, DK '94, and so on had "special" palettes. When you boot them, they already start with an assigned palette stored in GBC's BIOS. Read up on it here https://tcrf.net/Game_Boy_Color_Bootstrap_ROM

>>3839724
>Generally, when you boot a GB game on GBC, you get the default dark green palette
Wrong. GBCs had some internal ROM that assigned one of the 16 GB palettes to nearly the entire official GB catalog.

>>3839427
I've always been partial to left myself

>>3839729
>entire official GB catalog
That article I linked lists around 50–70 of them. Also see https://forums.nesdev.com/viewtopic.php?f=20&t=10226

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>>3839724
>>3839729
I'll be damned. Either way, it "knows" which color scheme to apply to which game. I was always curious about that.