I think, rather than the using the word 'racist' quite so much these days, the expression 'in poor taste' fits the situation better.

To me, jokes about Schindler (who like it or not was involved in saving Jews from the death camps) are in poor taste. So are jokes implying that the Irish are thick, and mocking their accent etc.
There are jokes about the elderly, about 'blondes' (ditsy etc) and they could all be said to be in poor taste.
They could still make one laugh, but if they upset someone, then better not use them.