Yes in the case of Measles, Chickenpox, and Mumps but, never for colds or the flu.
It's not true for any of those either, it's just that a sufficient amount of people were vaccinated in a sufficiently short time period and for Mumps the evolutionary path is almost non-existent. There are already variations of measles and chickenpox that are vaccine resistant but they are rare because the mutation also limits the virus ability to spread (which is what limited scope mutation does, if most people are vaccinated the virus can only latch onto people who are not, the mutation vectors decrease and so the virus can only survive within a limited part of the population).
You are correct about the RNA viruses, like the various flu viruses and the one that causes the common cold.