Not sure why, but I'm struck by the difference between "My name is" the metric translation "I am called" as a way of introducing oneself. I like "I am called," I think because it's different.
But when you really think about it, "I am called" is a slightly friendlier -- or a slightly inconclusive method.
For example:
My name is James (so don't even think of calling me something else!)
vs.
I am called James (and you should feel free to call me James).
Or...
His name is Peter (it says so on his birth certificate.)
vs.
He is called Peter (but who knows if that's really his name).