If you are not into cemeteries, you can still visit Recoleta and enjoy some of it's other interesting things to visit. Here what I checked out:
Prepare for color, football and quite some crowds. La Boca has a special vibe so take the time to walk around.
You notice that you are in the city center especially when coming from a smaller neighborhood, as everything seems bigger somehow. Make sure you cross the Avenida 9 de Julio, widest in the world to see if you can make it within a stoplight ;)
Probably one of the most alive neighborhoods, San Telmo is the perfect place to stay while in BA.