Yes, it was on this day in 1904 that Mr Leopold Bloom began his day with "grilled mutton kidneys which gave to his palate a fine tang of faintly scented urine" and headed out towards Paddy Dignam's funeral.
I tried to find a "classical" setting of text from Ulysses but didn't care for anything I found. This is pretty great—especially the brief second and third pieces.
More Cathy Berberian, and Ulysses too, but no music. Only there is. Text provided if you watch this at YouTube.
And the Shannon Colleens (Sinead Murphy and Darina Gallagher) singing Songs of Joyce at Bewleys Cafe Theatre, Dublin, for the Bloomsday Festival June 2010.