In the Bohr model, the kinetic energy of an electron in the $n^{\text{th}}$ orbit of a hydrogen-like species is

$\text{K.E.}=13.6\frac{Z^2}{n^2}\text{eV/atom}.$

The quantity $Z^2/n^2$ decides the ranking. Computing each:

H atom, $n=1$: $\frac{1^2}{1^2}=1.$

He${}^{+}$, $n=1$: $\frac{2^2}{1^2}=4.$

He${}^{+}$, $n=2$: $\frac{2^2}{2^2}=1.$

Li${}^{2+}$, $n=2$: $\frac{3^2}{2^2}=\mathrm{2.25.}$

The largest value, $4$, corresponds to the first orbit of He${}^{+}$.