Human-engineered heart constructs (hEHC), comprising cardiac organoids and engineered heart tissues, have become essential for replicating pathological and physiological mechanisms associated with cardiac development and diseases. The ongoing advancements in fabrication and culture techniques for these constructs have rendered them increasingly vital for cardiotoxicity prediction and drug efficacy evaluations. There is an escalating demand for standardized methodologies encompassing uniform fabrication, accurate disease modeling, and multidimensional phenotype assessments to facilitate a comprehensive understanding of these constructs. This review systematically examines hEHC, highlighting recent advancements in their cellular composition and functional characteristics, while stressing the necessity for thorough evaluations of significant heart disease phenotype, particularly in arrhythmia. Here, we propose a novel modular classification of cardiac model development based on specific modeling parameters and categorize existing research on in vitro functional assessment into various quantitative metrics. This classification framework provides researchers with innovative insights and strategies for personalized model design and evaluation.