What catch-phrase used by veterans instantly identifies in which branch of service they serve(d)?

I think kick the tires light the fires could also apply to all services.

Aye, Aye, Sir

At one time the 11 general orders for guard duty!

Lots out there that can go either way. One thing I have noticed is that when using the phonemic alphabet, there are some that stand out and ID a vet, such as zooloo, and Golf, Bravo... If you ask, you find out they are usually vets. Or that Dad / Mom was. Leg (now spit) has got to be Army Airborne. True infantry comes from the sky. The rest of 'ya get trucked in. And I didn't hear REMF used toward other branches, as it was toward the PAC personel (pukes)

"Rah" or "Yut": both phrases are commonly used as greetings, farewells, and sleepy, unmotivated acknowledgements in Marinespeak.

Just a side note (has nothing to do with answering the question, sorry); Chaplain Swartz and the Air Force Chaplain's Assistant both look familiar. I could be wrong, but I think I've met them somewhere...I was a Chaplain's Assistant for over 20 years.

Hooah.

Hooaaah! - Army
Hooraaah! - Marines

11B - Hoo-ah!

Don't mean nothin, aint nothin but a thing!