The combination of a standard velocity map imaging setup with three different slicing methods is demonstrated for the dissociation of O-2(X(3)Sigma(g)(-)) (v = 0) at 157 nm leading to the O(D-1) + O(P-3) channel, and I-2(X(1)Sigma(g)) (v = 0-4) at 490 nm leading to the I(P-2(3/2)) + I(P-2(1/2)) channel. The kinetic energy and angular distributions of the products are compared with the results from conventional (nonsliced) velocity mapping. In addition, one of the methods is applied for the study of field-free dissociation of molecular iodine ion I-2(+) by two-photon excitation at 522 nm.