The new and distinct crape myrtle plant named Lagerstroemia ‘Spiced Plum’ has a dense, compact, upright to slightly outright habit forming a rounded mound, is ground hardy to at least USDA zone 6 and shows resistance to leaf spot and powdery mildew. The lightly fragrant flowers are raspberry-purple opening from rosy-red buds on dark red stems, and foliage emerges tinted with burgundy red and slowly matures to deep green. The new plant is useful for landscaping as a specimen or en masse, or for use in showy containers.