Multi-modal entity alignment (MMEA) is a long-standing task that aims to discover identical entities between different multi-modal knowledge graphs (MMKGs). However, most of the existing MMEA datasets consider the multi-modal data as the attributes of textual entities, while neglecting the correlations among the multi-modal data and do not fit in the real-world scenarios well. In response, in this work, we establish a novel yet practical MMEA dataset, i.e. NMMEA, which models multi-modal data (e.g., images) equally as textual entities in the MMKG. Due to the introduction of multi-modal data, NMMEA poses new challenges to existing MMEA solutions, i.e., heterogeneous structural representation learning and cross-modal alignment inference. Hence, we put forward a simple yet effective solution, CrossEA, which can effectively learn the structural information of entities by considering both intra-modal and cross-modal relations, and further infer the similarity of different types of entity pairs. Extensive experiments validate the significance of NMMEA, where CrossEA can achieve superior performance in contrast to competitive methods on the proposed dataset.