Let's pick a studio at random from the ones which are behind some very notable comic book films (production or co production in some cases if I did not notice it might be distrubution only, taken from this en.wikipedia.org/wiki/List_of_Warner_Bros._films and me selecting films that I thought were good. Interestingly the list would probably be bigger if we include films they financed that could be as good and were quite different from the genres that are related to murder of Movies)
Warner Brothers: A.I, Training Day, Hearts in Atlantis, Ocean's Eleven, Insomnia, Matchstick Men, Mystic River, The Last Samurai, Before Sunset, Alexander ( a failure but I will mention it if only for the kind of film it was), The Aviator, Million Dollar Baby, Corpse Bride, Goodnight and Good Luck, Kiss Kiss Bang Bang, North Country, Syriana, Firewall, The Departed, The Prestige, Flags of our fathers, The Fountain, Blood Diamond Good German, letters from Iwa Jima, Zodiac Michael Clayton, I am Legend, Sweeney Todd: The Demon Barber of Fleet Street, The Curious Case of Benjamin Button (I think this film is bloody awful personally but it was the kind of attempt that is quite different than comic book adaptations and it has received accolades), Gran Torino, Slumdog Millionaire, Where the Wild Things Are, The Blind Side, Invictus, The Book of Eli, Inception(And no Inception is a film with good characters, and just because the plebs like it, as some complain, and is directed at them as well, is not less good.), The Town, Born to Be Wild, The Artist and perhaps others because at this point is where i get lazy.
Now between that list you could add V for Vendetta, Matrix Relloaded, Batman Begins, Dark Knight, Dark Knight Rises, Green Lantern, Harry Potter films. I don't see a murder here, more like a coexistance between films that sell a lot and others which are more dramatic and sell less but still get made.
As I already knew from the various list of so many films each year there are a shitload, shitload number of good films. So go and watch them the 2000s will more than satisfy you in quantity and quality and there is quality in different genres as well despite the comic book adaptations existing.
As for blockbusters: I think we have Lord of the Rings Trilogy, Pirates of the Carribean films, Gladiator, The sequels of the Star Wars prequels,Transformers films, X-men trilogy and X-men last stand. Dark Knight trilogy. Incredibles, Iron Man, Finding Nemo, Avengers, Matrix Sequels, Spiderman trilogy, Star Trek, The Bourne Trilogy, James Bond films, Watchmen, V for Vendetta, 300.
Now as far as this category of film there is a bigger domination of certain types of films but there you still find some quite good ones. And you don't have to watch these films necessarily, there are plenty more films to satisfy those looking for something different than that or drama.