I was thinking over some song lyrics by bands that could have had some influence by Bon Jovi. I'll post some lyrics here and highlight the Bon Jovi-like parts.

blink-182: The Rock Show
She's the one
She'll always be there
She took my hand
And I made it I swear

Linkin Park: Runaway
I wanna run away
Never say goodbye

3 Doors Down: I Feel You
This ain't no bed of nails
But they're not roses just the same