The study of the mechanical behavior of living tissues is a fascinating and challenging application of continuum mechanics. Characteristic features of soft biological tissues include large strain viscoelasticity, poroelasticity, anisotropy, and loading history dependence of the mechanical response. Their heterogeneous microstructure leads to significant differences and variability of stiffness and kinematics depending on the considered length scale. The construction, execution, analysis, and interpretation of corresponding experiments represent some of our core activities. Experimental observations under uniaxial and multiaxial loading states are rationalized using advanced continuum models as well as discrete fiber network models. Recent investigations include the study of the correlation between mechanical parameters and microstructural features obtained from histological observations, biochemical indices, or in-situ testing in a multiphoton microscope.