There have been various explanations posited for the α-effect. The α-effect refers to a phenomenon wherein nucleophiles with lone pairs on atoms adjacent (i.e., in the α- position) to the atom bearing the reacting lone pair sometimes exhibit dramatically higher reactivity than similar nucleophiles without α-electrons. This effect is especially adduced when no associated increase in BronstedBrønsted basicity occurs. For example, hydroperoxide ($\ce{HOO-}$) experimental reaction rate constants are orders of magnitude greater[1] those of hydroxide ($\ce{HO-}$) with various electrophilic substrates, despite the former exhibiting lower BronstedBrønsted basicity. There is also a thermodynamic α-effect, in which equilibrium constants are enhanced[2]. It is currently on the list of unsolved problems in chemistry on Wikipedia, but, due to a lack of references to that effect, I'm not entirely convinced it really should be listed there. Here's the summary of my research on the topic thus far:
Fleming provides a small table with relative rates ($k_\mathrm{rel} = k_{\ce{HOO-}}/k_{\ce{HO-}}$) in his book. For example, he gives $k_\mathrm{rel} \approx 10^5$ for reaction with $\ce{PhCN}$ and $k_\mathrm{rel} \approx 50$ for $\ce{PhCH2Br}$, while $k_\mathrm{rel} \approx 10^{-4}$ for reaction with $\ce{H3O+}$. The rate of reaction correlates in the expected way with BronstedBrønsted basicity only in the case of proton transfer.
Again, citing Fleming, he gives the example of the reaction of N-acetylimidazole with hydroxylamines, in which both rate and equilibrium constants are positively affected. Qualitatively, he explains this by noting that the α-electrons raise the energy of the lone pair conjugated to the π-system, making overlap of said lone pair with the π* LUMO more effective. Additionally, he claims both ground-state stabilization and transition-state destabilization as being factors in the reduced electrophilicity of oximes and hydrazones relative to (most) other standard imines.
Ren, Y.; Yamataka, H. The α-Effect in Gas-Phase SN2 Reactions Revisited. Org. Lett. 2006, 8 (1), 119–121. DOI: 10.1021/ol0526930.
Edwards, J. O.; Pearson, R. G. The Factors Determining Nucleophilic Reactivities. J. Am. Chem. Soc. 1962, 84 (1), 16–24. DOI: 10.1021/ja00860a005.