Your position is part of the problem. There are reasonable things that could be done to reduce such accidents but when you aim for getting rid of guns they're going to fight you tooth and nail rather than try to actually improve the situation.
Yes, for example the mandatory background checks that the gun lobby continues to fight against "tooth and nail".
The gun lobby isn't going to give an inch, period, because it's in their financial interest not to.
Huh? The gun manufacturers would actually benefit from universal background checks because they would make buying a used gun more of a hassle, driving more people to new guns. The reasons for the opposition are considerable:
1) The government has already shown it is dishonest about them. The gun-grabbers very much want a list of all the guns because you can't hope to seize them very well if you don't already have a list. The Brady check law specifically stated that the records could not be kept. No surprise, they're being kept.
2) Background checks are not a serious limit for a gun store. They're a big headache for private party sales, in some cases they would be entirely outlawed (because why would a gun dealer cooperate in doing the check unless compelled to?)
3) Background checks are applied to situations that aren't transfers in the first place. When the Brady checks came along there were a bunch of ads in the newspaper from pawn shops pointing out that if you didn't claim your gun before <effective date> that you would have to go through the background check to get your own gun back.
3a) What about the rancher who tells the ranch hand "take that rifle out and deal with the marauding coyote"? Illegal in states with strict background check laws.
Besides, there's a far better solution: I'll willingly vote for your strict background checks if you also accept a gun possession permit system. The same background check you would need to possess the gun, but it's done in advance, you can show the permit in lieu of performing the check. Some places do this with CCW permits, I'm saying you should be able to get the check part of it without the class part of it. This does everything the gun grabbers
claim to want, but it doesn't run up the cost and it doesn't produce a list of guns. I've gotten some pro-gun people who like my idea and have found some who have proposed something similar. The left doesn't like it, though.
Besides, background checks will do nothing about children being shot by accident. The solution there is storage requirements--and that doesn't mean a big honking safe, just anything that locks up the gun. (And give the CPSC the power to order the immediate recall of anything sold for locking up guns that proves to be reasonably openable by a child.)