The new and distinct cultivar of perennial Sedum plant named ‘;Boogie Woogie’; is characterized by drought-tolerant, winter-hardy, tight, low, clumps, flower stems that remain upright in the center of the plant throughout the growing season, small, medium-green, glossy foliage with variegated margin of cream blushed with reddish-purple and numerous bright yellow flowers clustered on small heads that completely covering the compact, low-mounded plant.