AWS provides multiple ways to deploy containerized applications, including AWS Lambda, which offers scalable computation using functions, and is ideal for short-running tasks and cron jobs. In contrast, AWS App Runner is a fully-managed platform for running containers, designed for request-response type of applications, with no management of infrastructure or orchestration required. Amazon ECS provides a fully-managed container orchestration service, offering flexibility and scalability, while also allowing users to create custom scaling metrics. Amazon EKS is a managed Kubernetes service, providing a rich ecosystem and various features and tools, but also being the most complex option. Each service has different scalability characteristics and restrictions, and choosing the right one depends on specific use cases and requirements.