Applying the Jacobi elliptic function expansion method to the (2 + 1)-dimensional breaking soliton equations (BSE for short), we derive some types of exact solutions to the BSE. Based on the derived solutions, we obtain some special structures, such as spatially localized or periodic excitations. For specific choices, we show some features of the (2 + 1)-dimensional BSE, such as breathers or breather lattice solutions.