We report on the generation of bulk photocurrents in materials driven by non-resonant bi-chromatic fields that are circularly polarized and co-rotating. The non-linear photocurrents have a fully controllable directionality and amplitude without requiring carrier-envelope-phase stabilization or few-cycle pulses, and are generated with photon energies much smaller than the band gap (reducing heating in the photo-conversion process). We demonstrate with ab-initio calculations that the photocurrent generation mechanism is universal and arises in gaped materials (Si, diamond, MgO, hBN), in semi-metals (graphene), and in two-and three-dimensional systems. Photocurrents are shown to rely on sublaser-cycle asymmetries in the nonlinear response that build-up coherently from cycle-to-cycle as the conduction band is populated. Importantly, the photocurrents are always transverse to the major axis of the co-circular lasers regardless of the material's structure and orientation (analogously to a Hall current), which we find originates from a generalized time-reversal symmetry in the driven system. At high laser powers (~10 13 W/cm 2 ) this symmetry can be spontaneously broken by vast electronic excitations, which is accompanied by an onset of carrier-envelope-phase sensitivity and ultrafast many-body effects. Our results are directly applicable for efficient light-driven control of electronics, and for enhancing sub-band-gap bulk photovoltaic effects.Light-driven dynamics in solids with femtosecond and sub-femtosecond resolution have recently attracted considerable attention. Light-matter interactions can result in novel effects that originate from ultrafast dynamics including high harmonic generation (HHG) [1], and the creation of new states of matter [2][3][4][5][6][7][8][9][10]. The ability to control the electron motion in real-space, momentum-space and time, can give rise to unprecedented control over observable properties such as light emission [11][12][13][14][15][16][17][18][19] and magnetic fields [20]. One main avenue of research here is the generation and characterization of light-driven bulk electric currents in the absence of external bias. In materials with broken inversion symmetry, second-order nonlinear effects lead to shift currents through the bulk photovoltaic effect [21,22]. The driving force for carrier separation in the shift current mechanism is the coherent evolution of electron and hole wavefunctions, such that above-bandgap photovoltages can surpass the Shockley-Queisser limit [23]. Photocurrents can also arise in inversion-symmetric materials (where they are standardly forbidden) via mixing of bi-chromatic carrier waves with frequencies ω and 2ω [20,[24][25][26][27][28]. Here the photon energies are resonant with 2 nd -and 3 rdorder perturbative transitions that interfere, and the inversion symmetry is effectively broken by the twocolor field (making the effect highly sensitive to the two-color relative phase). The resonant and perturbative nature of these effects precludes access to ultrafast dyn...