The rest of Washtenaw County has quite a few charming little towns and villages that you might enjoy visiting.
Ypsilanti is about 15 minutes east on I-94, but practically contiguous with Ann Arbor if you're driving down Washtenaw Avenue.
Dexter is about 15 minutes west on I-94.
Saline is about 15 minutes south on US-23.
Chelsea is about 20 minutes west on I-94.
Manchester is about 30 minutes southwest on I-94 and MI-52.
Milan is about 30 minutes south on US-23.
If you'd rather get out of the county, there are some larger cities and towns a short drive away.
Dundee is about 30 minutes south on I-23. Most people go for the nearest branch of Cabela's, an enormous outdoor outfitter and hunting/fishing/camping store, but it also has a nice little downtown. A 20-minute drive from Dundee along MI-50 will bring you to Tecumseh, a charming village with a great downtown and some very nice restaurants, including a British imports shop with a quaint tea café.
Detroit is about 45 minutes east on either I-94 or I-96. If you're not visiting downtown Detroit, you might want to stop in some of the suburbs. There's a nice movie theatre and good restaurants as well as the only IKEA in Michigan in nearby Canton; Novi and Troy home of the impressive Somerset Collection mall are good for shopping; Hamtramck has a sizeable Polish population, and Dearborn is home to the largest Middle Eastern community in the United States, as well as the fantastic Henry Ford Museum and Greenfield Village.
Lansing is about 1 hour west on I-96. It's the state capital, and home to rival college Michigan State University.
Frankenmuth, which bills itself as "Michigan's #1 tourist attraction", is about 1 hour north on US-23. It's a great little tourist town with a Bavarian-style downtown, delicious all-you-can-eat fried chicken dinners, and a year-round Christmas store.
Toledo, Ohio is about 1 hour south on US-23. You'll pass several nice little villages on the way. In town, there's a great art museum, the world-class Toledo Zoo, and a neighborhood of old Victorian homes.