There are several types of databases, including relational databases, NoSQL databases, object-oriented databases, and graph databases. Relational databases store data in tables with rows and columns, while NoSQL databases are more flexible and can handle unstructured data. Object-oriented databases store data in objects, making it easier to represent real-world entities, and graph databases are designed to handle complex relationships between data points. Each type of database has its own strengths and weaknesses, making it important to choose the right one based on the specific needs of a project.