In zero- to ultralow-field (ZULF) NMR, one does not need magnets in some or all of the three stages of an experiment: polarization, encoding, and detection. This unusual NMR modality has witnessed rapid development since the advent of compact and sensitive noninductive sensors, especially, atomic magnetometers that are now available commercially. We will discuss several recent ZULF NMR experiments carried out by our group and collaborators, demonstrating applications in areas as diverse as searches for beyond-the-standard-model particles and interactions, monitoring chemical reaction dynamics in highly inhomogeneous samples within metal catalytic reactors, and detection of breaking down of membranes of biological cells as a result of chemotherapy. ZULF NMR may be combined with hyperpolarization and radioactive detection overcoming the sensitivity limitations. Remarkably, a wide variety of hyperpolarization techniques (including dynamical nuclear polarization, photochemically and parahydrogen induced polarization) are being used in conjunction with ZULF NMR.