I started but it became apparent that it might be easier to just re-draw them from scratch rather than try a direct conversion. They are really simple anyway, at least the first game is. Most of the levels could be drawn with a couple hundred polygons and 1 VDP2 infinite plane.
The snow effect from FF6 intro looks great
More simple but not bad, the snow effect in Super Adventure Island II
Not a big fan but Sonic 3 has also a snow effect