Lousy neighbors

I know you don't get to pick your neighbors but if only....
We have lived here for over a year and I'm pretty sure I only know two maybe three of my neighbors names. I do know atleast one of my neighbors and their pets! For example one day when I got home from work, this "said" neighbor was checking the mail (conveniently the community mailbox is in our yard) well he had his dog with him and he let him do his business right there on our lawn, right in front of me! And I'm not really the kind of person that will say anything and he didn't say anything either so instead I just vented about it to my husband. Also this lovely neighbor has a cat that just roams around and has decided that the sandbox in our backyard is its own personal litterbox! It brings its dead birds and all its fun little cat finds and delivers them to the box. So we got rid of the sandbox, but the cat still comes around. Well, what really sparked this rant was that yesterday we found a nice huge pile of cat vomit that I am completely convinced came from this same stupid cat. To make matters worse I have a curious little puppy now that thinks he needs to eat everything left behind! All I can say is I wish I had a bb gun and I wish that neighbors would be a little more considerate/responsible.
Also I'm sorry if you have to listen to my puppy whine when I leave him in the backyard while I'm at work. We're working on it.