I've always enjoyed orchestral music, at first incidental music - for videogames, film, television - and now classical music, too. For several years I didn't like rock much at all. The past few years have really opened my mind both as listener and composer, especially these past few months.
I started out listening to Game Boy and GBA music, so my ears, you could say, were already prepped for SNES music when I discovered it. I'm sure it's had an impact on me - a fondness for melody - but it's been so many years that it, along with everything else, has been, well, "assimilated". I still prefer listening to, and writing, orchestral music, but my sense of the possibilities has been expanded, and I look forward to one day trying my hand at writing rock music, or implementing elements of it into my composing.
I'd say that SNES music is a great influence to have. Exposure to so many great melodies, to intelligent usage of limited resources.