"Is there any emergency when taking off that you would consider normal.?"
Nope, but then again, losing an engine, considering the excellent training we get now a days, could probably be considered more of a non routine. A blown tire shouldn't cause much grief in the front office either. Having been through both, cannot say they were much of an event.
Here is a great example of some well executed airmanship:
http://www.youtube.com/watch?v=uYNpB-8_BSo
Should they have tried to stop?
This one was an RTO at supposedly 12kts above V1:
http://aviation-safety.net/database/...?id=20060607-0
http://www.youtube.com/watch?v=wj8UP...eature=related