Most DSLRs I know of use the same mirror and pentaprism arrangement as a traditional SLR. Yes, they often do have an additional digital screen, but I only use that when I'm trying to find a specific shot on the card.
Yes, and they all pretty much suck. Auto-focusing optics that can't handle a scene because the sensor thinks there's changes in focus from even the slightest noise, poor color reproduction on built-in screens, sensors sensitive to even the slightest jitter of the internal components, shutter roll effects in video, and more. Almost every one of these problems is not happening in an analog SLR camera.
1) Autofocus can be turned off if you don't like it.
2) There's no (electronic) "screen" involved when you're looking through the viewfinder of a good digital SLR. It works exactly the same way as the viewfinder on film SLR. Exactly.
3) The same is true with respect to "sensors". Every DSLR I've used lets you shoot in full manual mode. No sensors involved.
4) I'm not sure what "video" has to do with it, since you can't take video on a (still) film SLR anyway.
"Autofocus can be turned off if you don't like it."
Excepting some lenses themselves have one built-in that you cannot disable.
"There's no (electronic) "screen" involved when you're looking through the viewfinder of a good digital SLR"
Tell that to my Sony SLT which has... wait for it... an electronic viewfinder. Oh, and many people find that focusing manually using an EVF is easier than with an OVF because the EVF allows you to magnify an area to clearly see when the subject snaps into sharp focus (assuming no cruddy interpolation,) which is why DSLRs are coming with an electronic viewfinder.
"Every DSLR I've used lets you shoot in full manual mode. No sensors involved."
Is that including the sensor which is required to take the picture?
"I'm not sure what "video" has to do with it, since you can't take video on a (still) film SLR anyway."
What do you think is inside a Super-8 camera (which has still film modes?) The exact operating mechanisms, down to the split prism (well, some used a half-mirrored optic) that you would find in a typical SLR. Oh, and then there's this thing called rapid continuous shot (battery assisted, of course) where you can shoot up to 30 shots per second with my old camera, which means... wait for it... VIDEO SPEED PHOTOGRAPHY.
Have you actually tried a modern DSLR?