I have won multiple NFL MVP awards, and I am known for my exceptional playmaking abilities. I have played for multiple teams and I am known for my unconventional throwing style. I have had multiple head coaches during my career, and I've been to the Super Bowl multiple times, but never won. Who am I?

1. I was drafted in the second round of the NFL draft.
2. I am known for my mobility and ability to extend plays.
3. I have had a strong arm, but have had questions about my accuracy.
4. I have played for teams in different divisions.