I remember very few specific details, so bear with me. I’m pretty sure I remember
playing this arcade game at our local 7-11 around 1987-1988. Right next to the
game was an Ikari Warriors game so it must have been about the same time that
game was out. It was a 2D side scroller that involved kids with jetpacks flying
around fighting bad guys in a futuristic city. I remember a deep voice over guy would
constantly say things like, “Destroy the boss! Find the key to open the door!” - or
something like that. He kept repeating phrases like that over and over. I’ve searched
for years and can’t find this game - help! And I know people will see jetpack and
think “Space Harrier” but it’s definately not that game. This was a 2D side
scroller.
If thisis the answer, your Google-fu is weak. 
First result!
That sounds exactly like the game - thank you! But in defense of my googling
skills, I have literally been searching for years, and haven’t really looked in long
time so this article must be new (ignore the Originally Posted: 10/27/01, Updated
10/27/01 info at the bottom of that article)!
Oh, I’m just teasing. Happy to help! 
(I searched on the phrase you included in your post, btw.)
I think I’m going to go home and play Police Quest.