G-protein coupled receptors are sorted by the alpha-subunit they recruit, and the stimulatory class $G_s$ is defined by its activation of adenylyl cyclase and a rise in $cAMP$. Among the options, the $beta$-adrenergic receptors (beta-1 in the heart, beta-2 in bronchial and vascular smooth muscle, beta-3 in fat) are the textbook $G_s$ receptors. The remaining choices belong elsewhere: the $M2$ muscarinic receptor and the $alpha_2$-adrenergic receptor both signal through $G_i$ and lower cAMP, while the $M1$ muscarinic receptor signals through $G_q$ to drive the phospholipase-C/$IP_3$/calcium pathway. Therefore the one receptor that couples to $G_s$ is the beta-adrenergic receptor.
\[\boxed{\beta\text{-adrenergic receptor (Gs)}}\]