Absolutely sexism is still a problem!! Women still get paid less for doing the same jobs men do, they still are the ones most likely to be in poverty, they make up a fraction of the decision makers in this country, they still experience violence in great proportions, they still do most of the work in the home and they don't have reproductive rights! (I could go on and on).
This, however, doesn't mean that the existance of sexism means there is less racism, homophobia, etc. Racism has become more of an issue in an increasingly multicultural Ireland, for example.