I almost exclusively listen to classical digitally. Most recording after 1990 or so were only available digitally, and unlike popular music, classical recording quality in modern times remains quite high. Some fairly crappy sounding recordings from the past, like 1979's DG recordings, actually sound better as digital reissues. I also like the convenience, lack of breaks in the music to change record sides, and freedom from ticks and pops during quiet passages that digital affords.
I have ripped about 3,500 classical CDs to WAV files and do most of my classical music listening at home from these files. The catalogue of CDs and streaming content is quite vast and there are very few recordings that are not available digitally that I have on records.