EventBridge offers several advantages over SNS for service integration on AWS, including supporting a wider variety of targets, delivering events across accounts with ease, capturing and processing third-party events, content-based filtering capabilities, built-in schema discovery, and input transformation. These features enable more efficient and scalable event-driven architectures, reducing the need for custom glue code. While not suitable for every application integration problem, EventBridge's expanded capabilities make it a popular alternative to SNS.