The Teleferico climbs from near the centre to Cerro del Borrego, giving the city its easiest big view. Go in the morning if the weather is clear; the reward is Orizaba below you and Pico de Orizaba on the horizon. You can also hike up, but the cable car is part of the fun.
Teleferico de Orizaba and Cerro del Borrego
Cable car to a hilltop park with broad views over Orizaba and the volcano.