Seeing these well-built athletes in tight pants play on a beautiful green grass field in this very American traditional game is pretty special to me. It's a bit like watching an opera - there are stars and bit players, slowly unfolding drama, with a few very exciting moments and as Yogi Berra probably didn't actually say "It ain't over until the fat lady sings". I should watch the Ken Burns baseball video's again. I particularly liked the slow background music that gave the feeling of the lazy summer day sport.
Baseball is the only sport where you can obsess about every minute statistic (such as how this batter hits left handed pitchers with runners on base, day games, away, two outs....) and you can do it day by day, checking the net, reference books, etc, play-by-play, pitch-by pitch. The game goes slowly enough that there is time to think about offensive and defensive tactics before each pitch. Its best being there in a close game on a warm summer's night, but even April when I have to wear long underwear is OK. It's better technically to watch on TV and see replays and erudite (and dumb) commentary which sometimes explain what you don't understand when you are there. But being there amid the noisy crowd in the too-crowded Fenway seats eating the bad food (I don't drink the cat-piss beer they sell) is a pretty great experience.
At Fenway Park each game starts with the announcer saying something like "And now those words you have all been waiting for:" and a tiny little kid steps up to the mike on the field and screams "Play Ball".