Yeah.
Fargo, The Big Lebowski, Miller’s Crossing, and No Country For Old Men (some very funny stuff) all fall somewhere between “dark” and “comedy”.
If I was forced to categorize the Coen Bros., I’d go with “dark comedy”. But, that’s a limiting way to describe their filmmaking.
I think you’re confusing dark comedy with satire (which is often, but not always, dark humored). A dark comedy doesn’t always have to be dry and deadpan; it can have broadly comic laugh-out-loud moments as well. Dr. Strangelove, which was mentioned earlier in this thread as archetypal dark comedy has numerous goofy scenes like George C. Scott’s impersonating a B-52 and the title character’s constant battling with his arm.
While No Country for Old Men has some darkly comic moments, I wouldn’t call it a dark comedy. It’s by far the most serious movie the Coens have ever done.
As for other dark comedies, I think Get Shorty could be categorized as one (but others may disagree).
One of my favorites. 
Speaking of the Coens, how about their first, Blood Simple?
It’s been so long since I’ve read it or seen it, I don’t remember. But another general rule of thumb is, if several main characters die for really stupid reasons, then it’s a black comedy.
How does it go on?
“Mother’s Little Georgie’s got lobster, lobster.”
“Mother’s Little Georgie’s got lobster for Mother.”