Another component that can benefit from using serverless resources is automated tasks that run on a regular schedule. Externalizing configuration and processing from a server allows more of the allocated compute resources of the server to contribute to running the workload. In some cases, it may even mean that the size of the server can be reduced after moving the processor-hungry scheduled task into a Lambda function. Additionally, centralizing the automation as code allows you to keep track of the processes that are deployed and manage changes more easily.
Running scheduled tasks
Replacing server-based local schedulers
It really is down to your imagination as to what tasks could be moved into a Lambda function or other...