What is the current status of Consequences of the Axiom of Choice website?
Solution 1:
A revamped database, called "Choiceless Grapher" is now available: https://cgraph.inters.co/.
The data and code for the website are available at https://github.com/ioannad/jeffrey
This website has been created by Ioanna M. Dimitriou along with Paul Howard. Maybe interesting for future readers (in case sites go down again), here and here are some blog posts by Ioanna M. Dimitrou on creating this revamped website.