He has 23 executive orders and a handful of legislative proposals.
What I find interesting is that I thought the list of executive actions were eminently sensible (and I think a lot of people would agree), while the legislative proposals were generally unwise, and for that matter potentially unconstitutional, ideas*.
In a way, this is reassuring. The potentially bad ideas are the things that the president cannot do unilaterally. The potentionally really good ideas are things that the president can do unilaterally. This sums up one of the big successes of American constitutionalism: smart division of powers and simply a good use of adversarial politics (executive orders are constrianed by the opposition portraying you as overreaching too, I'd imagine).
I wouldn't expect that any of these things - the executive orders or the legislative proposals - would prevent shootings. But that is not the only measure of a good idea.
* - With the exception of the background check for gun shows, which is probably a good idea. I can see why gun shows were excluded in the first place. This places quite a burden assuming a background check takes some time to conduct. But there are probably good ways around this. For example, you could get a certified statement from the local police office (say, within a month of the gun show) that you passed a background check that you could then give sellers at the gun show. If you know the gun show is coming you will have time to do that, and then it won't obstruct the sale. Obviously gun shops are easier because a gun shop is going to stay there so you can do a background check and come back at your convenience.