Critical Phenomena, including the appearance of universal scaling laws and critical exponents in the vicinity of phase transitions, appear in different fields of physics and beyond. Critical phenomena in gravitational collapse to black holes were first observed by Matt Choptuik over 30 years ago - a seminal discovery that launched an entire new field of research. While these phenomena are well understood in spherical symmetry, critical collapse of gravitational waves, i.e. in the absence of spherical symmetry, has remained elusive. In this talk I will review the appearance of universality, scaling laws, and self-similarity close to the onset of black hole formation, and will then present an overview of recent simulations of gravitational-wave collapse. These results do not provide any evidence for the universality of the threshold solution, and instead suggest that our notion of critical collapse in the absence of spherical symmetry will have to be broadened.