Ultracold atoms with controllable interaction via Feshbach resonance (FR) have provided an ideal platform to study novel phenomena in quantum systems. Of particular interest, broad high-partial-wave FRs are potentially useful for quantum simulation of nonzero partial-wave coupling dominated many-body physics. In this talk, I will report our recent observation of broad p-wave and d-wave FRs in the lowest open channel free of two-body spin flip loss. For the d-wave FRs, we observe for the first time a triplet structure with splitting ratio well explained by the perturbation to the closed channel due to interatomic spin-spin interaction. Our experiments are guided by an analytic multichannel quantum-defect theory which is robust and efficient for FRs of high partial waves.