Yes, this is happening to me as well. It's infuriating, because TS2 and TS3 didn't have this problem. I don't see what the problem is, or why EA isn't fixing it instead of focusing all their attention on finding new ways to recycle old animations. I feel really hurt here, because I feel like EA has completely abandoned the Whims system, what with their no longer adding new ones with new packs. Whims/Wants/Wishes have always been a huge part of my personal style of gameplay, and it really makes me sad that they are no longer working.
I can use the sims.give_satisfaction_points cheat, but it's not as satisfying. If anything, it makes the game even more depressing.
I have been a loyal fan of all the Sims games, and it really doesn't take much to make me happy. I know that EA probably isn't reading this, but if you are, PLEASE listen to us. This is the first game that has become more buggy over time. Please don't ruin this for your fans! We really love the Sims!
ETA: Just an FYI. I removed the list of whims that were and were not completing, because "Share Brilliant Ideas" just completed this time. It looks like it's random whether or not a whim completes, which I suppose would make this harder to solve. I still feel like EA could afford to focus more on fixing problems. This game is starting to rival TS3 in its bugginess, and that's saying a lot.
ETA: I also started a new game and tested various whims on my Sim. She was able to complete every single one until she traveled to the park and then the gym. Two whims--Become Energized and Do a Backflip--would not complete. I think there's something about traveling that triggers this bug, but unfortunately, it's not a guaranteed thing. This is apparently a difficult bug to reproduce on demand. I did see that others mentioned it might have something to do with leaving the game on too long, but I don't think that's it. I have days where I boot up the game and immediately whims aren't fulfilling (at least after travel).