Dave, anyone with an emerging interest in classical music should not overlook opera.
My favorite composers are mostly Italian and French of the 19th century and include Verdi, Rossini, Bellini, Donizetti, Puccini, Bizet, Delibes and Gounod.
I was reminded just last night what a feast for the eyes and ears this performance art is when I attended the final dress rehearsal (a have a cousin in the orchestra) of Verdi's "A masked Ball". This is a new production by Opera Australia and is lavish with its sets and costumes and a welcome relief from the "minimalist" style that has infected a lot of productions of late.
There are plenty of "Highlights" albums on Sparks and
eMusic and these are a good way to explore and discover what appeals to your musical tastes. I would look for some of the more overtly melodic operas such as Verdi's "La Traviata", Puccini's "Madama Butterfly", Bellini's "Norma" or Gounod's "Faust" for example.
Better still, go to a live performance of one of these - I can still remember my first time - Verdi's "Rigoletto"

Squash