This was fun. I'd like to see some analysis regarding where "Mario" appears in the title (either in terms of words or characters) and how that affects the color sequence. Glancing briefly at the list, it appears the M is more likely to be blue when it is preceded by "Super" (but not always).
Super Mario World has a green M. (multicolor Super)
Super Mario Ball has a red M. (yellow Super)
Super Mario 3D World and Land have a red M. (multicolor Super)
Super Mario Odyssey has a red M. (white Super)
Super Mario 64 has a blue M. (multicolor Super)
Super Mario Galaxy and 2 have a blue M. (white Super)