A combustion reaction it refers at complete oxidation of, most commonly, organic compounds. One example is the burning of methane gas CH₄:
CH₄ + 2 O₂ → CO₂ + 2 H₂O + heat
or the burning of ethanol:
C₂H₆O + 3 O₂ → 2 CO₂ + 3 H₂O + heat
The now we call this a combustion reaction because the compounds may be used as fuels which are combustible, but in the end there are oxidation reactions.
Now the oxidation of magnesium:
2Mg + O₂ → 2 MgO + heat
Now here I would not call this a combustion reaction because you we do not use magnesium as a fuel (not economically and practical reasons), but this reaction is for sure an oxidation reaction.
Reaction between acetic acid and potassium hydroxide is a double replacement reaction or, because of the nature or reactants (acid and base), it may be called a neutralization reaction.
CH₃-COOH + KOH → CH₃-COOK + H₂O
Hope it helps.