For slightly more advanced use cases, there is Mailchimp for WordPress Premium. It serves as an add-on plugin adding the following features.
More and better forms
Create an unlimited amount of sign-up forms that submit without reloading the page.
E-commerce integration
Know what your subscribers are purchasing, offer recommendations and recover abandoned carts.
Easy form styling
A visual interface to modify the visual appearance of your forms without having to know or write a single line of CSS code.
User Sync
Automatically update subscribers in Mailchimp when one of your WordPress users updates their profile, or vice versa.
Statistics and logging
Every sign-up attempt, whether through a form or integration, is stored locally. Data is visualized in various charts and can be exported to CSV at the click of a button.
Subscriber activity
View subscribes and unsubscribes for any of your audiences over a given time period, straight from your WordPress dashboard panel.
Auto-append forms
Automatically append a sign-up form to all posts or only those in a given category.
Post to campaign
Create a new campaign in Mailchimp from the Gutenberg editor with the click of a button.