Snare drum assemblies, including assemblies with flexible snare anchors, and associated methods are described. A drum assembly in accordance with one embodiment includes a set of snare strands, each having a first end and a second end, a first, flexible snare anchor connected directly to the snare strands toward the first ends, and a second, flexible snare anchor connected directly to the snare strands towards the second ends. The snare anchors can be flexible between a first shape and a second shape different than the first shape when attaching the snare anchors to a drum. The first and second snare anchors can have generally flat, uniform shapes when not under tension, and can have a relatively thin profile (e.g., thickness) to provide for contact between the snare strands and a drum head in one or more orientations. In further particular embodiments, the drum head against which the snare assembly is positioned need not include snare beds.