If you look for Tatami tiles, that's another type of closed cell EVA foam tile, also commonly called judo mats (normally 7/8" thick) or MMA mats (normally 1" thick). A step up from that would be cross-linked polyethylene foam (XLPE), with a vinyl facing; these are marketed as lightweight home wrestling mats. If you go that route, you will want rollout mats over folding mats for a more permanent installation.

Check out the video section here for some great and overly dramatic explanations:

https://www.rubberflooringinc.com/gym-mat/4-6-114-junior-wrestling-mat.html#!

(They have some very extensive buyer's guides on this site too.)