I like both, but I prefer the "feel" of classically-pronounced Latin, I find the Ancient Greek pitch accent to actually be rather annoying at times, and I have great difficulty pronouncing the pitch accent and the contrast between aspirated and unaspirated stop consonants, while Latin pronunciation and stress is very straightforward for an English speaker with exposure to Spanish and Italian. I also find Ancient Greek inflectional grammar intimidatingly complex, while with Latin the verbal inflections are familiar through my knowledge of Spanish.
Here is a wonderfully recited example of Classical Latin, part of one of Cicero's speeches.
http://www.rhapsodes.fll.vt.edu/cicero.htm