This was my family of 4's (2 kids, 14, 10) first cruise, so we did it up big with a concierge level room. While significantly more expensive than the standard room, we chose concierge primarily so that we could get a cabana on Castaway Cay (which we did). Here are the pluses:

The concierge lounge is a nice, quiet place to slip away to for a quick coffee, snack or drink. Not that you can't get these things elsewhere on the ship, but it was nice being able to do it in a well-appointed, quiet environment where you don't have to stalk for a table or be surrounded by loud conversations.

The concierge deck was also a great place to view the fireworks. Nice outdoor couches and chairs, a fireplace, a private bar--you watch the fireworks in comfort, while looking over at the massive crowd huddled shoulder to shoulder watching the same display. Read more