Growing up in the almost Detroit suburbs, I had little appreciation for the cultural and interesting activities in Detroit. However, taking my boyfriend home to see the parents, I had to find things to show him and things to do rather than just watching the big TV. Therefore, the top cultural activities are: Hockeytown (the Red Wings -- if you can get tickets), Detroit Institute of Arts, Greenfield Village, the Henry Ford Museum, and bowling, bowling, bowling.
Best Way To Get Around: Detroit, as the Motor City, has very very limited public transportation options. Therefore, the only way to get around is to drive.