I have moved my US state of residence to Texas and while I was over there this year I got a new driver's license but they required a SS card or proof of SS to issue this. I lost my original SS card, applied for a replacement while over there, and that was lost in the mail (not having much luck!) so I thought OK, I'll get one when I'm back in the UK.
The US Embassy website says you don't need one and it looks like they don't issue them, or try not to, plus you have to mail in your original passport and birth certificate (and I was born in the UK so have a Consular Report, good luck trying to replace that if I lose it).
So do I actually NEED a SS card, for anything other than getting a new Texas license (I used the printout the SS office in TX gave me as proof, and I think I still have that).