Oh yeah. My doberman Roxie has some wild ones at least once a night; whereas the other 2 dogs hardly ever do. All the things you mentioned, plus her eyes are usually halfway open during the process, so it can be kinda freaky looking at times.
Roxie constantly makes 'sucking' sounds during her dreams. Not sure if that's hearkening back to her days on the nipple - or if she's just
really thirsty in her dreams, but I always find it interesting to watch her while she sleeps.
What scares me, though, is that she 'jerks' REALLY hard a lot of times during her dreams, and I'm afraid she's gonna hurt herself without realizing it. I'm constantly tempted to wake her up, but rarely do.