Actually, it's a college senior design project for mechanical engineers. I'm trying to get as many ideas as possible from as many sources as I can.
What I came up with was the automated wort mixing device, possibly incorporating a heating element into the mixing device to do away with propane as a heating source.
I could have probably worded the thread title somewhat differently but it was late last night and I wanted to get this out.
I wouldn't be selling this, it's more to gain a better understanding of the process and to see what we could create that could help
Well why didn't you say so

You'll find people around here generally quite helpful, but not if it looks like you're just looking for verbatim answers to a homework question. Now that you've made it clear that you're actually doing something a little more involved than that, you'll likely get some good responses...especially if you make it clear that you're willing to post your designs here afterward.
Based on your questions, I'm going to assume that you've got some experience with brewing, but not a huge ton. Apologies if that's incorrect.
Automated wort mixing device :- not sure I see the need for it. If you could come up with a way to gently heat and stir a mash, that would be interesting.
Steam jacket for wort boiling :- if this can be done efficiently, fabulous. But, I think it's a hard problem. There are already steam jacketed boilers on the market for kitchens, but they're expensive, large, and heavy. I'm not sure if that's something that can be changed easily.
Sanitizing spray device :- This exists. It's a spray bottle. I buy them three at a time at the drug store.
Bottle filling device :- If you could design some kind of float valve that fit inside of a 1/2" tube, I would be extremely interested in something like that. If it were possible to build a tube that would automatically fill a bottle to a set level, I'd buy a dozen.
Electric heating coil for boiling wort :- Again, these already exist. What you are describing is either a bucket heater or a low density water heater element.
Wort cooler that saves water :- I believe that plate chillers already approach theoretical maximum efficiency, and a proper whirlpool chiller isn't far off. If you can find a way to build a cleanable plate chiller, you might make a few friends.
More efficient brew kettle false bottom :- what do you mean by more efficient? Better at keeping stuff in without getting stuck? Sounds great, but again...a tough problem.