There are a couple of situations where I prefer the breaker bar to a ratchet.
1. If I'm holding a nut and hammering away with an impact wrench
2. If I'm working partially seized fasteners back and forth (using heat or penetrating oil)
3. Very tight Wheel bolts/hub nuts/crank pulleys (the pivot point of a breaker bar is in a better position than a flex-head ratchet IMHO)
I love my flex-head ratchets/impact wrenches and use them all the time, but I always carry 3 breaker bars in my van (3/8-1/2-3/4") just in case