This Letter proposes a family of structured light, called bimeronic beams, that characterize topological structures of bimeron (the quasiparticle homeomorphic to skyrmion). The polarization Stokes vectors of bimeronic beams emulate bimeron structures, which are reconfigurable to form various topological textures by tuning mode parameters. The bimeronic beams unveil a mechanism to transform diverse topological states of light, similar to the skyrmionic transformations among Néel, Bloch, and anti-skyrmion types. Moreover, bimeronic transformations are more generalized to include skyrmionic transformations as special cases.