When you donate through a donor-advised fund[1], you have the option to make the donation anonymous to the recipient organization (but presumably not to financial surveillance systems and the IRS). Caveats: this only works for 501(c)(3) organizations, and DAFs often have donation minimums.
I don't have any association with the company other than knowing the founders. No endorsement other than that they're good folks who want to help people have an easier time giving.