Adrenaline (epinephrine) is a catecholamine hormone and neurotransmitter that acts as a nonselective agonist on all adrenergic receptors, including $\alpha_1$, $\alpha_2$, $\beta_1$, $\beta_2$, and to some extent $\beta_3$. However, its prominent and clinically significant actions are mediated through its agonistic activity at $\alpha$ and $\beta$ (specifically $\beta_1$ and $\beta_2$) adrenergic receptors. While it does have some affinity for $\beta_3$ receptors, its primary classification in terms of its broad effects is as a nonselective adrenergic agonist. The provided correct answer focuses on its well-established non-selectivity for $\beta_1$ and $\beta_2$ receptors, which are crucial for its cardiovascular and bronchodilatory effects.