I have had greyhounds and lurchers, and every one of them does it. It's not a full sneeze, I call it a "snit" because that's what it sounds like. They're large dogs, so when they're being playful, jumping around and play fighting, we sometimes tell them "no!" is they're about to knock something over. This always gets us a "snit".

The yawn thing that someone else mentioned is also common. If they are displeased with you, you get a yawn. Like if you ask them to do something (sit, paw etc) too many times and they're bored of you, you'll get an exaggerated vocal yawn.

And the last one I'll mention, because it's so common in all dogs I've seen, is the shake. Directly after a tense situation, they shake, like they do when they're drying themselves. For example, if you're walking your dog and they encounter another dog that is larger, or a breed that they don't know or don't trust, they'll sometimes do a quick shake a few seconds after the encounter. I always reward the shake with a treat, to tell them "good dog, you kept your shit together in a stressful situation". A trainer told me to do that when I had a grey who had very bad social anxiety, and it really worked.

(Human) Kids shake too! You can try it yourself, it does work.

I've only ever seen dogs yawn on purpose as submissive/appeasing behavior. Kind of a nervous "I'm not trying to cause trouble." I'll get it from dogs if I've asked them to do too many behaviors in a row and they think it's because they haven't given me the correct one. Kind of an apology that they don't know what I want.

I see it occasionally between dogs when one is being stiff/dominant and the other yawns to kind of apologize and diffuse the situation.

Then again, I haven't worked much with sighthounds and they're basically a different species from other dogs, haha.

Dogs facing a strange human can react in the same way to humans deliberately yawning.