1. Tell me the last city that you lived (in.) 2. Tell me the city you last lived (in.) Both are correct. However, you need the preposition "in" at the end of these sentences.

Ed is correct

is it the same meaning of these two sentence? In my opinion,I say no, let us see the NO.1,you said the last city,be stress on where you lived, and the NO2,the last city you last lived,stress on when,the last time you lived. you can see more about this below friends tell you.