You are looking for a different product. What you are looking for is ECS+Fargate. That does exactly this. The difference is that with ECS+Fargate you are in charge of building the entire application from scratch. With lambda you just implement 1 function, the "service" part of your app and all the plumbing to support different things like X-Ray, logging, handling errors, hot and cold boots, etc etc are handler by AWS.