The interplay between the amyloid-β (Aβ) peptide and cellular membranes have been proposed as an important mechanism for toxicity in Alzheimer's disease (AD). Membrane environments appear to influence Aβ aggregation and may stabilize intermediate Aβ oligomeric states that are considered to be neurotoxic. One important role for molecular biophysics within the field of Aβ studies is to characterize the structure and dynamics of the Aβ peptide in various states, as well as the kinetics of transfer between these states. Because biological cell membranes are very complex, simplified membrane models are needed to facilitate studies of Aβ and other amyloid proteins in lipid environments. In this review, we examine different membrane-mimetic systems available for molecular studies of Aβ. An introduction to each system is given, and examples of important findings are presented for each system. The benefits and drawbacks of each system are discussed from methodical and biological perspectives.