Yes, there are. Get back here, El Jimbo!

In all seriousness, if you are looking for something urban you should look at downtown, Midtown, Corktown, Woodbridge, E. Riverfront, Lafayette Park and Eastern Market . If you are looking for more residential, look into the Villages, specifically West Village, Indian Village and English Village.

Here is a good resource to start looking for places: http://www.downtowndetroit.org/ddp/housing_intro.htm