The pair of elements that would react most easily with each other would be an element with a high electronegativity and an element with a single valence electron.
This combination typically involves a highly electronegative element (like halogens) reacting with a highly reactive alkali metal (which has one electron in its outer shell). The alkali metal readily loses its single valence electron, while the electronegative element readily accepts it, leading to a strong ionic bond and a vigorous reaction.