Using first principles calculations, we show that \(\hbox {Li}_x\hbox {Al}_y\hbox {B}_{2(x+y)}\) materials have strong electron-phonon coupling, with many having a superconducting critical temperature ( \(T_c\) ) that exceeds that of the more familiar \(\hbox {MgB}_2\) at ambient pressure. In particular, we find that \(\hbox {LiAlB}_4\) is the most stable member of the family, with \(T_c > 44\,\hbox {K}\) whilst the peak \(T_c\) is with \(\hbox {Li}_3\hbox {AlB}_8\) which has \(T_c > 77\,\hbox {K}\) . Our results reveal that these materials are both thermodynamically and dynamically stable, with strong electron-phonon coupling, indicating significant potential for practical superconducting applications.