the best example is Texas. In 1960 1968 and 1976 democrats won Texas while losing Dallas and Harris counties. Now, democrats probably have to get 60% in Harris and 65% in Dallas to win the state. Meanwhile much of rural eastern and central Texas which democrats would win by decent margins have gone off the deep end.
Just look at the old 1st and 2nd districts. In 1988, Dukakis did about as well as he did nationally in the 1st, while Obama likely got about 33% there. Same in the old 2nd where Dukakis actually won by four points, but Obama probably got around 33% there.