Not to put too fine a point on it, I suspect you may receive a lot of heavily biased responses to your request for input. Keeping in mind, as I'm sure you already have, that this input is coming from loyal hardcore Disney fans, many of whom may be reluctant to be critical of anything Disney, I'd like to recommend that you factor this into your interpretations of the advice you get in this thread.
For example, some of the advice you were given in the very first response to this thread was advice I would not have given. The poster listed Grizzly River Rapids, for example, as a "must see" attraction. Had you never been on Kali River Rapids, I would have made the same recommendation. But the two are so similar (as the poster who recommended it to you acknowledged) that you probably don't want to devote your limited time to attractions you've essentially already done. I would skip Grizzly River Rapids. I would also skip It's Tough to Be a Bug, Tower of Terror and Soarin' for the very same reasons. It's Tough to Be a Bug is identical, in every way, to the AK version. Soarin' is also identical as far as the attraction itself is concerned. But where the Epcot version at least has somewhat of a queue to speak of, the DCA version does not. Tower of Terror, however, is significantly inferior to the MGM version. It lacks the elaborate exterior grounds, the fifth dimension scene, and the random drop sequences. There are some who will tell you that this one is "better in some ways" or that it has "some surprises". But the truth is, all it really has that's different is one effect that is pretty cheesy.
You were also given advice, by another poster, that you should visit the Mission Tortilla display to try their "delicious" free samples. The thing to keep in perspective here is that yes they are free,....but they are just slices of tortillas. There is truly nothing spectacular about it. :brick:
Paradise Pier is an area that I would avoid altogether if I were you. The only attraction in this section that has any originality is California Screamin', and you mentioned that you are not a fan of thrill rides. All of the other rides in this section are nothing more than off the shelf carnival rides. In fact, the whole "feel" of this area is basically everything Walt detested about amusement parks. I never thought I'd see the day when Disney would strive to be a Six Flags wannabe, but that's exactly what Paradise Pier is,...no matter how a lot of Disney fans will try and dress it up.
Given the limited amount of time that you have to visit the Anaheim resort, and the fact that you've never been to Disneyland, I would strongly suggest that you plan your trip primarily around Disneyland itself, and only do DCA as a quick visit. While there, I'd suggest seeing Aladdin, Monsters, Inc., and A Bug's Land. For the latter, I can't recommend any of the rides as they are all just carnival kiddie rides. But the look of this section is cute and worth seeing.
Hope this helps! Have a great trip!!