Temperature-dependent fluorescence anisotropies of a nonpolar solute 9-phenylanthracene (9-PA) have been measured in 1-alkyl-3-methylimidazolium-based ionic liquids with anions such as bis(trifluoromethylsulfonyl)imide ([Tf2N−]), tris(pentafluoroethyl)trifluorophosphate ([FAP−]), tetrafluoroborate ([BF4−]), and hexafluorophosphate ([PF6−]) to find out if the organized structure of the ionic liquid has a bearing on solute rotation. Analysis of the experimental data using the Stokes− Einstein−Debye hydrodynamic theory indicates that there is no significant variation in the solute−solvent coupling constants (Cobs) with an increase in the length of the alkyl chain on the imidazolium cation for the ionic liquids with [Tf2N−] and [FAP−] anions. However, in the case of ionic liquids with [BF4−] and [PF6−] anions, the rotation of 9-PA for a given viscosity at constant temperature becomes progressively faster and Cobs decreases by a factor of 2.4 from ethyl to octyl derivatives. Quasihydrodynamic theories of Gierer−Wirtz and Dote−Kivelson−Schwartz could not account for the significant decrease in the Cobs values. The observed behavior has been rationalized in terms of the organized structure of the ionic liquids having [BF4−] and [PF6−] anions, which results as a consequence of the high charge-to-size ratio of these anions compared to [Tf2N−] and [FAP−].