Systematic experimental and theoretical studies have shown that anionic boron clusters (Bn–) possess planar or quasi‐planar (2D) structures in a wide range of cluster size. The 2D structures consist of B3 triangles often decorated with tetragonal and pentagonal defects. As n increases, hexagonal vacancies appear to be a key structural feature, which underlies the stability of borophenes. The correlation of the defects with cluster size is important to understand the stability and structural evolution of boron clusters. Here we report an investigation of the structures and chemical bonding of B33– and B34– using photoelectron spectroscopy (PES) and density functional theory (DFT) calculations. Global minimum searches reveal that the potential landscapes of B33– and B34– are dominated by 2D isomers. Comparisons between experiment and theory confirm that their global‐minimum structures are both 2D with a hexagonal vacancy (Cs B33–) and (C1 B34–), the latter being a chiral cluster. Bonding analyses indicate that the Cs B33– cluster possesses ten delocalized π bonds, analogous to those in the polycyclic aromatic hydrocarbon C19H11–. Bonding analyses on the equivalent closed‐shell B342– species show that its 12 delocalized π bonds consist of two separate aromatic systems: nine exterior and three interior π bonds.