Anything that is almost exactly like them? I will agree that the use of CGI is terribly overdone right now, but it can be done well--think of the recent Dawn of the Planet of the apes. Lots of CGI, but done so well that it is hardly noticeable, and then there is the Hobbit that is roll-your-eyes terrible.

Movies that are from the past 15 years or so that are awesome and that don't rely on CGI (that should fit your needs--unless you are looking for non-R rated). Still, some of these work:

Gran Torino
No Country for old men
Dark Knight
The departed
The Fountain
gladiator
The Prestige
A Beautiful Mind
Slum dog Millionaire
Memento
Bourne Identity
The Hurt Locker
UP
The Incredibles
Crouching Tiger hidden Dragon
Fantastic Mr. Fox
Juno
Moon
Cast Away