This book constitutes the proceedings of the First MICCAI Challenge, CARE 2024, Held in Conjunction with MICCAI 2024, in Marrakesh, Morocco, during October 2024. The 23 full papers together included in this volume were carefully reviewed and selected from numerous submissions. Five tracks have been held in this challenge, including one comprehensive issue and four specific tracks with corresponding images and clinical problems: 1. Transferring Foundation Models for Multi-center Real-World Medical Image Analysis (TFM4MedIA) 2. Left Atrial and Scar Quantification & Segmentation (LAScarQS++) 3. Liver Fibrosis Quantification and Analysis (LiQA) 4. Myocardial Pathology Segmentation (MyoPS++) 5. Whole Heart Segmentation (WHS++).