In addition to the answers by Nicolau and DrMoishe.
Most prominent examples are the binary oxides of the alkali metals $\ce{A2O}$: lithium oxide $\ce{A~=~Li}$, sodium oxide $\ce{A~=~Na}$, potassium oxide $\ce{A~=~K}$, rubidium oxide $\ce{A~=~Rb}$ and caesium oxide $\ce{A~=~Cs}$.
Of course there are also higher homologs of these compounds like lithium sulfide $\ce{Li2S}$.
Especially for rubidium and caesium there are also a number of suboxides, i.e. $\ce{A9O2}$ and others. This is a whole class of compounds whith a rich variety.
There are also the nitrides of the alkali and earth alkali metals, e.g. lithium nitride $\ce{Li3N}$ and magnesium nitride $\ce{Mg3N2}$.
There are a couple of phosphides known, that fit your description, e.g. $\ce{K3P}$, $\ce{K4P3}$, $\ce{K5P4}$. These compound are also known from transition metals, like $\ce{Cu3P}$ or $\ce{Ni5P2}$.
Like the above, there are also some very common carbides, like aluminium carbide $\ce{Al4C3}$.
And I am very certain, there are many more.