I get this with Chrome on MacOS.
I'm becoming more convinced that Cloudflare is the bane of the internet.
If you really mean reCAPTCHA (the one with a “select all squares that have X” kinda challenges), then Cloudflare hasn’t used that for quite a while now. archive.today uses a Cloudflare-looking (old style) page with a reCAPTCHA (and they do serve it quite often), but I don’t think I’ve seen other sites do that.