Irreversible progressive pulmonary diseases drastically reduce the patient quality of life, while transplantation remains the only definitive cure. Research into lung regeneration pathways holds significant potential to expand and promote the discovery of new treatment options. Polymeric biomaterials designed to replicate key tissue characteristics (i.e., biochemical composition and mechanical cues) show promise for creating environments in which to study chronic lung diseases and initiate lung tissue regeneration. In this Viewpoint, we explore how naturally derived materials can be employed alone or combined with engineered polymer systems to create advanced tissue culture platforms. Pulmonary tissue models have historically leveraged natural materials, including basement membrane extracts and a decellularized extracellular matrix, as platforms for lung regeneration studies. Here, we provide an overview of the progression of pulmonary regenerative engineering, exploring how innovations in the growing field of tissue-informed biomaterials have the potential to advance lung regeneration research by bridging the gap between biological relevance and mechanical precision.