Yes, films do have resolution, its based on the ISO rating of the film. 50 or 100 ISO is very smooth and fine grain whereas 1600 ISO is very grainy (not unlike digital noise, but different). So when taking pics using film if you want to get a smooth, non grainy, A3 print you need to use slow film (ISO 100 or so). If you use fast film and enlarge it to A3 it becomes quite grainy. My comments are based on my experience using 35mm film and making prints in my darkroom.
I'm therefore assuming that film makers used slow 35mm film when making their movies hence the incredible quality that is available from original movies many years old. Remember they were projected huge distances in cinemas, so they had to have high resolution to remain smooth and sharp.
For the still photographers amongst us the new Nikon digital cameras D3 and D700 have an amazing ability to produce grainfree A3 prints at ISO speeds of 1600 or even 3200!! Something that simply was not possible with any traditional film at that speed. These cameras have revolutionised sport and low light photography. By the way I don't work for Nikon, just impressed with the amazing results I'm getting from these cameras.