Going to use some broad categories here.
I voted 'other' for a mixture of things.
1. Ban some guns - only those capable of firing one bullet at a time should be legal. Any other gun should only be used by those in law inforcement, or the military, etc.
2. Stop selling guns at Walmart. You should never sell guns at a supermarket, its ridiculous.
3. A 30 day waiting period between the purchase of a gun and the time you can actually take it home. During this 30 day period, an extensive background check will be carried out.
4. Mentally ill people, and those suspected of suffering a mental illness, should not be allowed to purchase a gun. If they are able to purchase a gun, the person responsible for selling it to them should be fined.
4. Those convicted of a criminal offense - any offense - should not be allowed to purchase a firearm. If they are able to, the same as above should apply.
5. Scrap 'Stand Your Ground' laws. This law has led to far too many unjustified shootings.
6. No child aged under 18 should be allowed to handle a firearm. This means no taking five year olds to a shooting range, or giving a child a gun for an Xmas gift.
7. Harsher penalties for those convicted of a home invasion. If a home invasion occurs (and this will depend on the definition of 'invasion') an immediate life sentence should be handed down. This may deter criminals from committing such a crime and will therefore possibly reduce the number of deaths caused by such crimes - most home invasions involve a firearm.
I could probably think of more, but those are just 7 - that don't take your guns away, but that might help prevent shootings.