How to display titles of publications on another site?

Question

WordPress

How to display post titles from one wordpress site to another wordpress site via API?
1) Popular post per day (or 5 posts) (preferably by Jetpack stats)
2) Popular post in the last 7 days (or 5 posts) (preferably by Jetpack stats)
3) Last post (or 5 posts)
5) Last post from a specific category (or 5 publications)

Answer 1

as an option - save all the data in a json file (you can get it directly from the database), on the second site you can simply pull out this data.