Cells use a variety of intercellular structures, including gap junctions and synapses, for cell-cell communication. Here, we present recent advances in the understanding of thin membrane bridges that function in cell-cell signaling and intercellular transport. Cytonemes or filopodial bridges connect neighboring cells via mechanisms of adhesion, which enable ligand-receptor-mediated transfer of surface-associated cargoes from cell to cell. By contrast, tunneling nanotubes establish tubular conduits between cells that provide for the exchange of both cell-surface molecules and cytoplasmic content. We propose models for the biogenesis of both types of membrane bridges and describe how viruses use these structures for the purpose of cell-to-cell spread.