SMS wrote:

You can still get an "ATM-only" card in California that does not have
the Visa or MC logo. That's what I always request (it's not the
default). These are usable for PIN based transactions at many merchants,
but it's not like the non-PIN based Visa/MC debit cards which you can
use at most places that take credit cards (with a few exceptions).

They are/were known as Visa Electron and Matercard Maestro cards. Unfortunately
my bank stopped offering them a few years ago. Also known as online only or PIN
based debit cards as they could not be used in offline signature mode.