I don’t even know what the normal command is, if there is one, for “go away now/get out of my way”, but my sister came up with this when I was a kid and I always teach it to my dogs without thinking…until people look at me like I’m crazy: “boogie”. A definite relic of the 60’s and my hippie sister…
All my other commands are pretty standard, though.
You?
The go away command I’ve always taught to my dogs is “git”. Often said “go on, git”.
I think git means get, as in “get out of my way”, but I’ve used it as long as I can remember. My dogs as a kid understood this command.
My sweet pups are long gone. One of the more unusual commands I remember (have no idea how this evolved) was “look look”. We’d say it really fast and low–my Rottweiler would immediately go into guard/protect mode. I think she may have taught us to say that!
Mojo - our trained narcotics German Shepherd - has a lot of job-specific commands, mostly in German, but I’m teaching him a few new domestic ones. The latest is “get the girl,” which is his cue to go jump on the 9-year-old’s bed to make sure she wakes up for school. Very effective.
Of course, my mother’s Newfoundland also knows this command, but he’s not the brightest pup in the litter. If you tell him to “get the girl,” there’s about a 50-50 chance that he’ll go to the window to look for squirrels in the oak tree instead of running to the bedroom to wake up “his” girl.
ETA: I forgot my favorite command for Mom’s Newfie. It’s “sit,” which doesn’t sound all that odd. However, his version of “sit” is to go to the sofa or love seat, hop up, and make himself comfortable. He’s just a wee bit spoiled.
“vacuum” = come snorfle up whatever I’ve dropped on the floor. Very handy for quick cleanup! (This comes from the fact that I do not allow dogs to harass me for food while I’m cooking/eating, so they have to be alerted to goodies.)
“chill your shit” or just “chill out” means settle down and stop acting like a maniac.
“bugger off” to go away
A funny thing with our old dog, due to the unique training methods of my SO. The dog doesn’t know the command “down”, but she does know “go lie down”, meaning ‘take yourself elsewhere’. OTOH, sometimes she’ll “go away” about 1 foot and then lie down, in the hopes that she can get away with staying in the room. 
when I say “hold please” she freezes in place, and when I say “thank you for holding, your call is important to us” she goes on about her business.
p.s. I used to answer phones for a living
These are great! I haven’t had a dog since I was 11 and never a dog and cat at the same time. Just cats since I was in college.
So this is fictional. Teach the dog to respond to “Translate” each time the cat meows – by barking. Amuse your friends.
I wouldn’t go so far as to call it a command but my dad’s dogs would absolutely go insane any time he heard the word ride. Anyone, anytime, anywhere, even when he’s already in the car and he would just go absolutely bouncing off the walls, buggy about the prospect of riding in car. One time, a character on TV said “ya wanna go for a ride?” and Sparky leapt off the couch, ran over to his leash which was hanging on a hook by the door, grabbed the clip in his teeth, started running back to my sister and ripped the hook out of the wall in his excitement.
Not a word, but a sound. Our dog is big and long and when I come home from work sometimes he’ll block the doorway so I can’t get in the house. I make a beeping sound like a truck backing up, which is his signal to do the same.
I don’t have anything nearly as clever as you guys.
All I can think of is “get your hat!” which means “go find your collar.” Dolly doesn’t wear her collar inside, but we never leave home without it. For a long time, she tried to take my shoes with her everywhere we went but I got tired of that. So instead of me carrying her collar, or her wearing her collar, I let her carry her collar.
She knows where I keep it at home, and where I keep it when we’re hanging out at my parents’ house, so she’ll go get her collar and stand by the door when asked to “get your hat.”
Every dog I have spnet time with learns “get on with your bad self.” It an instruction to not only cease whatever it is they are doing, but also to remove themselves from eyesight. It’s a valuable command.
“Nein, scweinhund!” is great for when the dobie doesn’t respect the first ‘no.’
When Dum-Dum gets his leash the wrong way around something-sign post, fence etc- I tell him “wrong.” That worked great with the late lamented Tango, but Cinnamon is having trouble learning it.
“Escort Mr/Ms _____ to the door.” Our Army-trained German Shepherd would then quietly follow the person indicated to the door - unless they deviated fromt he path, in which case they would get an unmistakable message about which direction to take. Very useful during high school parties.
“Get on your bed” She had a bed of her own, and would go there and stay until the coast seemed to be clear. Very useful if you are painting or cooking and she’s underfoot.
“Wassat?!?” Much like “look-look” described above. It means: Listen, did you hear that? Use your Canine Super Powers to tell me where it’s coming from!
We use “G’wan” for Attackdog to go away.
I’m now trying to teach him to growl and bark on command - of course, saying “growl” would be kind of a tip off, so the command is 'doucement" - “gently” in french. The idea being that it will sound - if it sounds like anything - like I’m trying to calm down the ferocious dog, when I’m actually telling it to growl.
“Secure the perimeter” will encourage Tulip to investigate strange noises from the front yard.
both my husband and i are defense attorneys. so when we say, “go to jail,” the dogs run to their respective crates and lay down. so cute and soo kind of mean. 
LOL. A friend used to have an Irish Wolfhound. She would back up over any tile floors (something to do with being skittish about the footing). We always used to make that sound when she did that.
Almost forty years ago we had a German Shepherd mix who would patrol the house when told to “Mind the manor!”
My fave dog command is MOVE. When the dog is in your way, underfoot, in front of the TV, or whatever, and you don’t care where they go or what they do, just so long as they go and do it someplace else.
When we are at home, we are pretty lax about the dogs hanging around the table, putting their heads in our laps, etc, so long as their noses do not break the plane of the tabletop. But it freaks out some guests, so when entertaining it is useful to be able to say OTHER ROOM.
“Pooh!”
My Border Collie slept for many years in my daughter’s cast-off mini-couch (one of those little kid’s versions that folds out but will only hold a small child). The couch had pictures of Winnie the Pooh and we called it the “Pooh Couch”. When the dog got underfoot we ordered him to his bed with the command “Pooh Couch”. This has been shortened to “Pooh!” (while we point). This commands means “lie down where I’m pointing”. He’s very good about following the command, but newcomers find it weird.