As part of the JST project, we have been developing advanced high-temperature superconducting quantum interference devices (HTS SQUIDs) for biomedical diagnosis and nondestructive testing. In this paper, we show the recent progress of our research. First, we show a highly sensitive and reliable HTS SQUID sensor. Using HTS SQUIDs, we have developed advanced magnetic-sensing systems. We show the results of biosensing systems, such as magnetocardiogram measurement of small animals, magnetic immunoassay and low field MRI. We also show the results of nondestructive testing systems, such as evaluation of solar-cell panels, rapid and quantitative detection of water, and detection of small magnetic contamination. We demonstrate the promising results of these magnetic-sensing techniques.