In general, redox reactions occur as long as one agents reduction potential is greater then the other, thus there are many combinations to consider. If you are talking about ionic compound formation, the polarity is relevant to the electronegativity differences, however, it isn't a redox reaction, technically speaking.
Stability has always been a vague concept, so is reactivity. All of it depends on the exact agents involved as well as the context; trying to understand this uniqueness is what partially constitutes the study of chemistry.