Tzararacua Falls is the natural excursion to make from Uruapan when you want something wilder than the town's parks. The waterfall drops through green country outside the city, and the approach involves a steep descent that makes the arrival feel earned.
Most visitors go on foot or by horse, then take their time at the bottom before climbing back out. Wear shoes with grip, carry water, and avoid treating it as a quick roadside viewpoint; the effort is part of what keeps the place from feeling overrun.