Sneakers is another great movie. It seems a lot more faithful to how hacking works in real life: as you said it's mostly about social engineering, not how fast you can type. And the device in the movie is at least somewhat plausible. A mathematician could in theory discover a critical vulnerability in cryptography and build it into a standalone electronic device.
Hackers is awful. I don't get the appeal at all. I'll never understand why this movie is so popular. I'd put it right up there with Swordfish in terms of nonsensical computer voodoo.