In terms of energetics of a reaction, you can think of two steps. The first step is breaking bonds which requires energy. The next step is forming bonds, which releases energy. Therefore, you can make a reaction highly exothermic by two means. The first means is starting with reactants that have very weak (i.e. unstable) bonds. Since breaking these bonds requires little energy, more energy will be released by the reaction overall. Alternatively, you could form products with very stable bonds, which release a lot of energy when formed.
Since combustion refers to the reaction:
X + O2 --> CO2 + H2O
and the bonds in CO2 and H2O are fairly stable bonds, the more unstable the bonds in X are, the more exothermic your combustion will be.