Optical-optical double resonance spectroscopy is used to obtain total rate constants, electronic branching ratios, and vibrational product state distributions for non-adiabatic transitions among the first-tier ion-pair states of the I₂ molecule excited to the E 0_g⁺, v_E = 8, 13, 19; J_E ≈ 55 rovibronic levels in collisions with M = I₂, N₂ and CO₂. It is shown that I₂ (E over(→, M) D) near-resonant transitions are caused by the interaction between the transition dipole moment of I₂(E-D) and the electric quadrupole moment of M. Besides, there are transitions induced by polarization interactions of the collision partners. Wide non-resonant vibrational distributions at the final states correspond to them. The I₂(D and β) state vibrational levels populated in the transitions accompanied by excitation of IR active vibrational mode, CO₂(01¹0 ← 000) ν₂e_1u(667 cm^-1), are observed. It is shown that rotational excitation of the collision partners can compensate energy mismatch between initial and final rovibrational levels.