mgal,I am in NYC but have spent time in Osaka on almost every trip to Japan. I love the city.
What you are asking for is general neighborhoods near and around Nanba. Nanba is both a neighborhood and a subway station. You will find it on the subway map.
The area(s) you are looking for are just north of Nanba station. Ifd say on the Midosuji Line, which will place you on the other side of the river, north of Nanba Station.
Try the Hommachi station for Minamisenba and DenDen Town. Try Shinsaibashi stations, for Amerikamura. Look for the gStatue of Liberty!h
Also, I am confused about gDontombori.h Do you mean Dontonbori? Which is a chain of stores or do you mean Doutonbori the shopping street. Both Nanba and Doutonbori are also north of Nanba Station and best accessed from that station. Just follow the shoppers!
My guess is that you are in Osaka, so I suggest that you pick up a city guide and a copy of the subway map. It is easy to get around Osaka by subway.
Oh, I believe that the Yotsubashi line and the Sennichimae line both go to Nanba.
Luck