General:
* Brought into the world
* Came into being
* Entered the world
* Arrived
* Made their appearance
* Was given life
Formal:
* Conceived
* Delivered
* Given birth
* Procreated
* Reproduced
Informal:
* Popped out
* Came along
* Hit the ground running
* Saw the light of day
Figurative:
* Sprang to life
* Emerged from the womb
* Was born anew
The best phrase to use depends on the context and the tone you want to convey.