Surnames for Jews became mandatory in most countries over the past 200 years. Prior to that, a yid was Moshe ben Yaakov, unless he had a “nickname” (e.g. Schneider, Bleier, Marmorstein, Schechter) due to his profession. When surnames were imposed, the officials were very nasty and had to be bribed not to give offensive names: Grossnass, Schwartzkopf, Katz. The last name was not as bad as the goyim thought as it meant – to us – Kohen Tzedek.
There are some Sefardim who call up by the family name. I have seen this in Moroccan and Algerian shuls (i.e. that follow those minhogim).
What would be interesting is whether, al pi halocho, the fact that a chosson is koneh his kalloh also gives him the right to change her last name to his. Has anyone come across this?