In ${H}_2$, first electron is removed from $\sigma(1 s)$ which has lower energy than $1 s$-orbital of ${H}$-atom. However, in ${O}_2$, first electron is removed either from $\pi^*\left(2 p_y\right)$ or $\pi^*\left(2 p_x\right)$ orbital which has higher energy than $2 p$-orbital of O-atom.