I'd like to make an anonymous PayPal donation. Is it possible? If not, what if I make a PayPal payment using my credit card directly (i.e. not logged in with an account)? Does it show up as anonymous in that way?
I suggest you look into the "guest" payment option..
I just spoke with Paypal about this (Jim)4/4/14, and he said they do have a proposal for that, that they will be voting on, where you could use a nickname or some such thing to anonymize donations or payments.
He said if I added my request for it, it would pump up the proposal's chances of succeeding. So anyone with a paypal account, please give them a call and request it if you want to see them eventually do that.