I love Netlify! In my opinion, it’s not „just“ a great way to host static sites, but also probably the easiest (and cheapest) way to get started with functions as a service/serverless.

You don‘t need your own AWS account to use Lambda functions.

I compiled a landing page example with Mailchimp mailing list signup a while ago:

https://github.com/tobilg/netlify-functions-landingpage