This experiment tells us that laser control of ultrafast electron dynamics in molecular systems is becoming reality. There are two key factors to attain a desired linear combination of electronic eigenstates: molecular symmetry and light polarization. This can be readily understood from the fact that the probability of an optical transition between two states is dominated by the inner product of the corresponding transition dipole moment, whose direction depends on molecular symmetry, and the electric field vector of incident light. For instance, it is impossible to populate an excited state whose transition moment from the ground state is perpendicular (orthogonal) to the polarization vector. Manipulating the populations of eigenstates that participate in the superposition state is not enough; the relative quantum phase between the eigenstates is crucial, that is, coherent control is required. The initial value of the relative quantum phase can in principle be tuned by laser polarization for a spatially oriented molecule and then it evolves periodically until the molecule starts to vibrate. The initial relative phase thereby dictates electron motion inside a molecule, e.g., the timing of electron localization. The choice of polarization is relatively easier and often made intuitively for highly symmetric molecules such as linear ones; the experiment of charge migration in HCCI\({}^{+}\) is a typical example (although the control was not fully coherent) [49; 50]. However, many systems of interest (e.g., complex organic or biologically relevant molecules) have low or no symmetry. The strategy of designing a polarized laser pulse to control electron dynamics in such molecules is unclear and needs to be established. In the present review article, we focus on the circulation of \(\pi\) electrons along an aromatic ring, i.e., the so-called ring current. This phenomenon, where \(\pi\) electrons travel in either a clockwise or anticlockwise direction around the ring, is a model case to study the manipulation of directional electron motion in complex molecules. Numerical simulations showed that much stronger ring currents can be produced in benzene [51] and Mg porphyrin [52; 53; 54] by a circularly polarized laser pulse than by a static magnetic field available with present technology. For these molecules the direction of electron flow is determined by the helicity of circular polarization. The mechanism of laser-driven ring currents in the highly symmetric aromatic molecules (\(D_{\rm 6h}\) for benzene and \(D_{\rm 4h}\) for Mg porphyrin) is unambiguous as will be briefly described in Section 2.1. How can ring currents be induced and controlled in aromatic molecules of lower symmetry by polarized light? The rest of this article offers a solid answer to the above question obtained in a series of our theoretical efforts. In Section 2, our quantum WP simulations reveal the laser-polarization effects on nonadiabatically coupled ring current and molecular vibration. We first propose a general pulse design scheme for ring currents in molecules with a single aromatic ring, which is applicable to systems of both high and low symmetry. Numerical examples are presented to illustrate the characteristic behavior of controlled ring currents in 2,5-dichloropyrazine (\(C_{\rm 2h}\)), which is a lower-symmetry derivative of heterocyclic pyrazine (\(D_{\rm 2h}\)). Nonadiabatic coupling between ring current and molecular vibration is significant when the current lasts as long as vibrational periods (tens of femtoseconds); however, the coupling was completely ignored in the previous studies [51; 52; 53; 54] based on the frozen-nuclei approximation. In Section 3, the pulse design scheme is extended to molecules with plural (in particular, two) aromatic rings. The extended theory is applied to (\(P\))-2,2\({}^{\prime}\)-biphenol (\(C_{2}\)), which is a nonplanar system with axial chirality. We demonstrate electron dynamics inherent to multi-ring molecules, i.e., localization of ring current at a specific ring.