This invention relates, e.g., to a virus-like particle (VLP) composition assembled from a chimeric polypeptide comprising a papilloma virus (e.g., human papillomavirus, or HPV) L1 major capsid protein, into which is inserted a surface-displayed peptide comprising a neutralizing epitope of a papillomavirus L2 protein. Vaccine compositions comprising the VLP are described, as well as methods for inducing an immune response (e.g., vaccinating) a subject against papilloma virus, using the VLP, and kits comprising the VLP, for carrying out a method of the invention.