Thumps up, although
The Player is rated much too low, in my opinion. It's one of my all time favorite films by now, though, so I get that I'm probably a little bit biased.
I think the film actually only gets better and better. The murder in the middle gives everything more moral gravitas, even when it's obvious that everything is supposed to be very satirical.
It makes the movie more cruel, more evil. It makes it morally more despicable and confronting, which I personally really REALLY liked in this context.
Next to the practically perfect narrative, I also thought the film looked amazing. It showcases Hollywood in an irresistible, darkly glamorous fashion and I absolutely ADORED it!
About
The Big Lebowski:
I think it's the overall attitude of the whole film and the main character that attracts so many people. Also, after having rewatched it again a few weeks ago, I have to say that the Coens were truly ON FIRE when directing this film. It's full of great stuff to look at. It all seems very laid back and loose, but the craft that is put into this film is definitely the result of hard creative work!
I still don't consider it as one of my favorite films, but I do have to say that I get fond of it more and more. I can definitely see why it's a cult classic.
I also liked
Before Sunrise and I think
Heat deserves a little bit more credit than you give it, but I get your criticism. It's definitely not a perfect film or anything like that.