US gun control without repeal of the Second Amendment would realistically involve "common sensical" restrictions, such as background checks on firearm buyers, red-flag court-ordered surrender of firearms to law enforcement, bans on ownership of "assault weapons", etc. The US is fairly unique among nations in maintaining a constitutional right to bear arms.
Thinking outside the box, if the American electorate were sufficiently riled up by gun violence to repeal the Second Amendment, then hypothetically gun control in the US (11.96 Total Firearm Related Annual Death Rate per 100,000 Population) could look more like Canada (2.05), Israel (2.09), Australia (2.4), or Switzerland (3.01).
In Israel firearms licenses are distributed to residents, agencies, and organizations by the Ministry of Public Security. "Firearms should only be issued if there is a personal or public need, as decided by the authorities, and only to one who adheres to the necessary requirements and has completed the appropriate training." All applicants are interviewed at the firearms licensing bureau. All applicants must complete training at a shooting range. Licenses are granted for a limited term. License holders must renew their license before it expires.