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I use a catchall on my domain, and every site gets its own email when I sign up.

Custom domain + cloudflare email forwarding service

E.g.:

* inbox@custom.me -> me+inbox@gmail.com

You can choose some other character for the same purpose? Like .-_!

(Assuming you are using a solution that gives you that level of control)

Outlook.com let's you make aliases and you can direct their messages into a folder. I.e myshopping123@outlook.com

Then you have to setup a more complicated filter on the client side based on sender, etc.

And if you’re getting enough mail from an organization to matter (and to be annoying in your inbox), then the cost of setting up a filter is tiny.