Formal:
* Fresh starts
* New chapters
* Rebirth
* A new dawn
* A clean slate
* A blank page
* A new lease on life
* A chance to start over
Informal:
* A do-over
* A second chance
* A fresh start
* A new adventure
* A chance to reinvent yourself
* A new chapter in your life
* Turning over a new leaf
* Moving on
Figurative:
* A phoenix rising from the ashes
* A seed sprouting
* A journey starting anew
* A river flowing to the sea
The best alternative will depend on the context and tone you're going for.