I have owned both Gator and SKB economy plastic cases before. This is definitely better than them.
The latch are very nice and easy to use. No more closing your lid to find one of the latches are caught in it.
Way cheaper and sturdier than the heavy and easily damaged wood Fender case.
I like the handle, it's comfy.

Fits my CIJ Jazzmaster fine, and I can leave the whammy bar on even with the lid closed (unlike every strat I ever had)

The only things I would personally like SKB to do are:
-if the guitar was on an angle like the Fender case, so that the case wouldn't be so long (just for looks really)
-A place to keep a book and some pages - I take guitar lessons and cant really fit the book in there.

One other downside, and it's minor because no one else really cases, but the Fender case looks very good, this looks kinda boring.

If I had to do it all over again, I would still choose this case.

Alert!!
This case, the SKB 62, does, in fact, accommodate the Acoustasonic Jazzmaster!
It fits perfectly!
The sculpted molded-in space perfectly nestles the Acoustasonic Jazzmaster!
I purchased an Acoustasonic Jazzmaster very soon after they were introduced. I've loved everything about this amazing guitar except the Gig Bag. It's a decent enough Gig Bag, but a Gig Bag is simply not what this instrument calls for! Decent, yes, but frankly inadequate for an instrument of this caliber.
I've been in contact with Fender Support on multiple occasions to urge them to introduce a proper hardshell case. They've responded to me that they're working on one, but had nothing to announce yet.
So. This isn't Fender's long-awaited case, but it may as well be! It's very well made, reassuringly solid, but above all else, as an actual Acoustasonic Jazzmaster owner, I can tell you that this case will in fact hold your Acoustasonic Jazzmaster!
Please see the photo I've included.
And look no further. This one the SKB 62, will do the job.

I have the Fender Classic Player Jazzmaster, and it fits in this case perfectly. In fact, in the almost 30 years of playing and owning multiple guitars, this is by far the neatest and easiest-fitting case I have ever had for an instrument. The Jazzmaster slipped right in with no problem, the guitar lays down perfectly straight, and the case closes nicely. No extra padding or material is needed to support the guitar or keep it from moving. I had tried a Fender-approved case, which was built nicely, but the JM did not fit in there well at all - the headstock barely was inside the case when you closed the door. I don't know how well this case would hold up under severe abuse (would any of them?) but it will meet my needs to transport the guitar around town. My search for a good case is over -- case closed ;-)

Fits my Blacktop Jazzmaster perfect. Going from a gig bag to this really adds some peace of mind to bringing my guitar places with me, especially on the road. I took this on a week long tour as its first venture with the guitar and it made transportation easier, packing the trailer easier, and I didn't have to be worried about something falling and breaking the guitar whether it was over the corner with our stuff or in the trailer. The handle is incredibly sturdy and looks like it's held on pretty well (I've had handle snap off a case for my tele and it was a huge hassle to go through Fender to get a new case). Only thing I wish this had was a pocket inside that was able to close. Things tend to move around a little in the open cavity but the case is tight enough that I don't have to worry about things hopping up onto the guitar and scratching the finish while it gets transported. More of an organization pet peeve than anything. Overall its a great case and I would definitely recommend it to anyone looking to protect their JM.

For just a little more than the cheap Gator case you get a lot more. This case is built better, more solid, and shaped better for a Jazzmaster. Really worth it.