Mal P, things to do in Buenos Aires:
1. La Boca is the port district with brightly painted houses, which is pretty touristy but worth a look. There's a great artspace, La Fundación PROA, around the corner, which can have some great shows.
2. The markets at San Telmo on a Sunday are also touristy, but fun.
3. Eating at local specialty restaurants, called parilla, which feature grilled meats. There are also some restaurants featuring foods from the Andean regions of Argentina, which are great.
4. Palermo Viejo is an old district featuring a lot of homewares, design shops, restaurants and bars, and is quite busy on the weekends.
5. The bar and club scene is pretty big, and obviously varies from season to season. Timeout publish a magazine-format guide to Buenos Aires regularly, which is available at the street stalls along Avenida Sante Fe.
6. The delta cruises up in Tigre (about an hour north by train) are interesting: it's where wealthy porteños have their weekenders.
7. Several ferries per day cross the Río Plate to Colonia del Sacramento in Uruguay, a 17th century port town. You can go over for the day.
8. See tango: there are small bars where you can watch dancers tango, large stage shows with lots of dancers, and also dance halls where locals go to dance.
9. Recoleta Cemetery is interesting, and the surrounding area has some good restaurants and bars.