Excellent question, Brian and one that suits this thread very well. What appeals to me about my particular style of aikido is the "real world" approach that is taken in the methodology of the curriculum. We bill our art as a self defense art. As a matter of fact on many of our dojo you will see a placard somewhere that says "Where self defense is a science, not a sideline". As I mentioned in my previous post we don't include the concentration on the spiritual side of aikido that you'll find in the Ueshiba sub-styles. Our founder simply didn't follow that path through his life. I'm an old Marine and have a history with other "hard" styles of MA and have always enjoyed that aspect of the martial arts. I suppose, in a nutshell, it's the rough and tumble mentality that comes with NGA that appeals to me. I'm sure that I'll be adding more to this as I have a little more time to think about it.
Actually Jeff and I have similar backgrounds, we're both former marines, we both studied hard styles before we found NGA and we were both drawn to it because of the self defense focus of the art.
We learn our techniques from a static position, uke's job when we learn is not to resist and not to help, he basically stands there, takes the appropriate grip and waits until nage moves him. Once the mechanics of the technique is learned this way, we move on to teaching how it's applied against an actual attack. When training with other aikidoka, defense is done from a stance with one foot forward, which tells uke what side to attack with, in NGA we defend from a neutral stance and uke attacks with whatever side he chooses. When we do our randori or a self defense line, uke throws whatever attack he choose, these include kicks, jabs, any grip, backhands, straight attacks, uppercuts, overhands, roundhouse, hooks etc. When working with aikidoka from other styles, I only see 3 types of attacks staights, overhands, and chops.
I've also noticed that in NGA our falls tend to be harder than other aikido styles. These are just some of the differences I've observed, but I techniques are basically the same, with some slight variations in application. We also practice various punches, kicks, elbow strikes that I'm not sure are practiced in other aikido styles, but they may be.