Have lots of BBQs especially when the wind is blowing smoke in the direction of her house. Have friends round for them, be all happy and jolly and then get one of your friends to say in a really loud totally surprised voice "Good Lord, annoyed - I do believe your neighbour is taking photos of us all! How bally odd!" and then all laugh loudly and carry on.
Definitely get some backyard chickens. Preferably closer to her side, so the smell and the flies from the coop irritates her (I clean mine out weekly and we still get flies!). The hens make some great squawking noises at random moments throughout the day when they lay an egg.
Download a white noise app and play it with the speaker turned against her adjoining wall, drives me bananas when I hear white noise but can't find wherever it's coming from to turn it off.
If you have children, encourage one of them to learn the drums and get them a practice kit - acoustic, not electronic. They could practice early in the morning before school with the windows open (not that we actually did this, no not at all. Oddly our neighbour hasn't complained about our dog - that never barked anyway! - since DS2 started learning the drums). If he or she can get some mates round to form a band for regular weekend rehearsals, so much the better :)
Sign them up for lots of junk mailing, add their phone number to lots of mailing lists and databases, contact your local JW and say you've just moved into the area and would like to be contacted as you're hugely interested in joining - any time, day or night is good - and give your neighbour's address.
That should do for starters :)