You know, the whole thing about making your connections is kinda moot, since the news has run so many stories about airlines NOT making their schedules.
Unless you fly my favorite: Southwest.
Nah... Lufthansa. They bumped me to First Class and fed me free beer all the way across the Atlantic. Why? I have no idea.
And FWIW, I've yet to miss a connecting flight. I have had to sprint pretty fast through the terminal a few times though!