H.R.121 - To provide for the hiring of 200 additional Bureau of Alcohol, Tobacco, Firearms and Explosives agents and investigators to enforce gun laws.
H.R.125 - To amend title 18, United States Code, to provide for a 7-day waiting period before a semiautomatic firearm, a silencer, armor piercing ammunition, or a large capacity ammunition magazine may be transferred.
H.R.127 - To provide for the licensing of firearm and ammunition possession and the registration of firearms, and to prohibit the possession of certain ammunition.
H.R.130 - To require the safe storage of firearms and ammunition, and to require the investigation of reports of improper storage of firearms or ammunition.
H.R.167 - To prohibit the transfer of a firearm at a gun show by a person who is not a federally licensed firearms dealer.
It would also probably have the requirements be something ridiculous, like you need a safe that can hold some minimum amount even if you just have a handgun, or the only safes that are secure enough are the multi-thousand dollar models that require digital registering and stuff. I wouldn't be surprised if they tried something like requiring a separate safe for each gun.