Is there any halachic issue with listening to, playing, and or enjoying classical music. Many classical works have goyishe roots, clearly anti-semetic composers (for ex. Wagner), or where derived from the church.
There is no halachic issue with Classical music. Many famous Jewish tunes and even Shabbos zemiros originate from non Jewish sources, however no longer carry create any connection to non Jewish culture. See Maaseh Rokeach Tefillah 8:11 who writes that non-Jewish music can involve a prohibition of be-chukoseihem. However, this will apply specifically if a person is seeking to adopt non-Jewish culture, and not for somebody who is listening to music for his enjoyment or to wind down after a day’s work, and so on