Three-dimensional variable-flip-angle (VFA) T1 mapping is an accurate T1 quantification method suffering from long scan time. SUPER is a contrast-domain acceleration technique with strength in noise suppression and fast reconstruction. Here, we develop regularized SUPER-CAIPIRINHA to accelerate 3D VFA T1 mapping up to 16-fold with 10 flip angles, and perform fast reconstruction with the proposed proximal-Levenberg Marquardt algorithm. The novel method is validated with both retrospective and prospective experiments, compared to Locally Low Rank and Compressed Sensing. The results show that rSUPER-CAIPIRINHA is an accurate and computationally efficient technique, reducing the 3D scan time from 14:10 minutes to 0:59 minutes.