Probably the closest thing you can get to in terms of a "privacy" credit card. Everything about a credit card is tied to you by their very nature. So it depends on what or who you want privacy from.
Someone else mentioned privacy.com which I also use - it's good if you want to hide your transaction from the credit card company, or if you want to hide your identity from the merchant. But Privacy.com is more like a virtual debit card that connects to your bank account. Privacy.com still knows who you are.
Hate to break it to you, but you are not Google's customer. Don't believe me? How much did you pay for Chrome?
This move is in fact being made with their actual customers in mind.