BRA is a big one you'll hear in my recordings, AWACS will say "FANG1 BRA 290 20 26000 HOT HOSTILE"
That is AWACS telling FANG (FL Air National Guard F-15 in this case) the Bearing, Range, Altitude of Hostile Target.
Another common one is WINCHESTER, that means the fighter is out of weapons.
And the one my ears will perk up for is "PUSH TO" When you hear PUSH TO and a series of numbers, those number are the frequency he is switching to. Great way to find new frequencies. Sometimes you'll hear "PUSH TO 7 AUX". Just like your car radio, some military radios have pre-set buttons, in this case he's going to switch to the frequency labeled 7AUX. Or sometimes it might just be a frequency card and he'll look for the freq labeled 7 AUX.