Nodame Cantabile would be a good choice also. Slight crazy fun-loving girl goes for perfectionist boy, but there is fine music added in to boot because both of the persons in question are music majors. I'm not very good at describing things, but just check it out if you get the chance. :>
Hey, thanks for posting this! I've been looking for a good music-related anime, and this, so far, is the best I've seen. Thanks again!