Finish the Stormblood main scenario questline.
Once I know, I can give you a tailored list of materials to farm! FFXIV: A Guide to Eureka in 2023 Eureka
To make sure I'm giving you the best advice for your journey, let me know: Are you planning to do this or with a group ? Finish the Stormblood main scenario questline
Speak to Rodney in Kugane (Pier #1) to enter Anemos. Eureka