Like Enthalpy said, its easy to understand the words of your question, but hard to know what its menat to ask.
Ok, hydrocarbons tend to combust well. Add a few other atoms in, like sulfur, nitrogen and oxygen and they still combust well. What about iron EDTA? That's a large organic molecule, with iron in it, so its going to leave lots of ash.
If you allow that, then almost anything counts. If you disallow that, then when oxygen is lacking, everything fails to burn. So we can't figure out the limits.
AWK: showed you ammonium dichromate burning. Also, elemental magnesium burns, but its neither organic or a salt. Heck, iron filings will burn in a pure atmosphere of oxygen.
SO I don't think you're going to find a comprehensive listing.