Novel vaccines are provided that elicit broadly neutralizing anti-influenza antibodies. Some vaccines comprise nanoparticles that display hemagglutinin trimers from influenza virus on their surface. The nanoparticles comprise fusion proteins comprising a monomeric subunit of ferritin joined to at least a portion of an influenza hemagglutinin protein. Some portions comprise the ectodomain while some portions are limited to the stem region. The fusion proteins self-assemble to form the hemagglutinin-displaying nanoparticles. Some vaccines comprise only the stem region of an influenza hemagglutinin protein joined to a trimerization domain. Such vaccines can be used to vaccinate an individual against infection by heterologous influenza viruses and influenza virus that are antigenically divergent from the virus from which the nanoparticle hemagglutinin protein was obtained. Also provided are fusion proteins and nucleic acid molecules encoding such proteins.