I'm sure my reasons for handloading are similar with many of you...
I've been reloading for about twenty-five years. Got into it primarily because I like to have the personal control to manipulate the variables to produce customized loads for each rifle with the end product of the best accuracy possible, hopefully with a preferred bullet for a specific hunt. About fifteen years ago I also added a progressive press for reloading hand-gun ammunition.
From a totally objective perspective, reloading is ironic in many ways for me: I'm sure I haven't saved money. I'm really into accuracy, but I'm not a long-range hunter, e.g., a big part of the joy of hunting for me is calling animals as close as possible, spot and stalking, etc. I'm also not a guy who heads down to the range to blast away a box of ammunition...I'm a controlled practice guy to develop and keep good shooting habits (rifle and hand-gun).
That said, there are many, many collateral positive benefits that I enjoy from reloading: First and foremost, I find the reloading process truly relaxing...I'm totally focused on what I am doing and not thinking about anything else (priceless for me and my work). My adult son and I reload his ammunition together (again, priceless for me). I've head-shot the majority of the moose that I've taken over the years, and drop them on solid/dry ground after calling them as close as I can (makes field dressing a way better experience). I once put a finishing shot on an escaping black bear climbing a snow-slide at well over 500yds after my friend wounded it on a hundred-yard shot (a wounded bear was retrieved), etc., etc., etc....
Lastly, as I sit here right now, I don't have to worry about ammo shortages whatsoever. I'm good to go...well into the future...and I like having that control. Oh, and that Alaska long winter thing that AKskeeter mentioned!