I have long suggested that American gun owners be involved in writing or rewriting gun laws. I wish the NRA could get onboard with this idea instead of denying reality. The pendulum is beginning to swing the other way in terms of gun tolerance in this our country. As a gun owner, I don't want non-gun owners to write or rewrite laws that will impact law abiding, legal gun owners in this country as this might well impact my right to own a gun. 
I'd rather sane gun owning and non-gun owning Americans sit down and come up with rational ideas which we then could debate. 
But you asked for specifics, I'll try. 
How about a 90 waiting period, background check (to include mental health check) on every gun sale, firearm safety and responsibility training (with certificate to allow the purchase of a gun), laws that punish irresponsible gun owners or gun stores whose stolen weapons are used in a crime - these are some ideas - open of course to modification and debate.