Relativistic configuration-interaction calculations have been performed for all possible E1, M1, and E2 transitions between bound anion states of La − and Os − . We pay particular attention to E1 transitions in each case that may be of use in laser cooling of these anions. Although the La − transition energy is approximately one-third of the Os − transition, our results indicate that the Einstein A coefficient is nearly two orders of magnitude larger, which would lead to more efficient laser cooling. We have also explored long-lived opposite-parity excited states in Lu − and Lr − which are restricted to M2 decay by selection rules. Finally, in Pr − , we find sufficient mixing between a weakly bound excited 4f 2 5d 2 6s 2 state with a nearby 4f 3 6s 2 6p resonance to result in a lifetime similar to that of the other excited anion states, despite the fact that the dominant configurations of these M1 and E2 transitions differ by two electrons.