Downtown: This area features numerous Portuguese colonial buildings, as well as several churches that house outstanding pieces of religious art. There are interesting museums in Jargua and concerts held frequently, as well as lots of cultural events.
The Beaches: Long strips of beach characterize Maceio and you can easily spend hours lying on the sand, contemplating the beauty of the ocean and forgetting about city life.
Praia Do Gunga: Located 30 minutes from Maceio and considered one of the best beaches in the country with an amazing display of colors.
Naturally Formed Pools: Some of the best pools are located about a mile off the coast of Pajuacara. It truly is a unique experience for those who love the beach and the ocean.
Surf: The beaches on the southern tip of Maceio are ideal for surfing and bodyboarding. They are quite safe and there aren't any sharp rocks under the sea, so it is possible to surf without very much risk of an accident.
Museums: One of the best is the Theo Brandao Museum, the museum features folk art and history exhibits, as well as local arts and crafts. Other museums include The Alagoas History and Geography Museum, the Pierre Chalita Museum, which exhibits art, the Music and Image Museum, the Natural History Museum, and there's even a Sports Museum, which you should definitely visit if you're a soccer fan.
Source: http://www.bestday.com/Maceio-Brazil/Attractions/