AOA are modern classics with lots of ideas you can keep coming back to over the years. TA is a really interesting experiment in presenting and teaching one particular style of magic through the medium of DVD. You can buy AOA one at a time and each volume is just over 10% of the cost of TA and has a lot more material. That said, I'm glad I have both. Much of what I got out of TA are not the effects but rather the vibe of how the material was presented. That may seem kind of like damning with faint praise, but there is something unique about the set. It's not about just the effects but the interviews with people like Eric Mead and David Blaine, unexpected little things from people like Jason England, and the performances of Bro Gilbert, who does the effects in a style I really like.
That said, there's no question that the books are better value. As for the gimmicks, I'll say that the bag-o-gimmicks was a little bit of a disappointment. I don't like the TA pen at all; I expected something a more advanced than what I got and I never bothered to make it. There are a few gaffed cards, the coffee cards needed for the "Weirdling" effect, and then Twilight Angels cards and Reality Twister. These latter two I love. (And I certainly understand the irony of buying a $300 box set only to discover that two of my favorites are low-cost marketed effects that have been out for years.) You only get four Twilight Angel cards, though, and if you like the trick you'll want more. Reality Twister can be bought individually. So, I guess what I'm saying is that the value of the gimmicks isn't as much as you are led to expect.
I noticed that someone has uploaded just about all the performances from TA on YouTube, so you can check them out and see if you like the tricks. That might help your decision. Of the tricks that are on both, frankly, for the most part I liked the original versions from the books better. However, there are things that in the books seem kind of "meh," like Tensegrity, which are amazing when you actually see them made and performed on the DVD. And, two of the linking card routines from the books are on the DVD and they are much easier to learn visually.
Hope this helps.