Which of the following is only Bronsted -Lowry acid but not an Arrhenius acid?

We know that Bronsted acids are these species that can donate a proton to other species. Also, an Arrhenius acid is a  substance that when added to water increases the concentration of $H^{+}$ ions present. The above options $N{H}_4^{+}$ can donate protons to other species.

Therefore, the correct answer is option(B) $N{H}_4^{+}$.