State Farm has a program called Steer Clear discount. That is where new drivers age 16 to 24 watch a video, study a manual, and then take a quiz. They must also complete 20 to 30 trips and keep a log of their strengths and weaknesses. After completing these requirements, teens meet with their State Farm agent.
MetLife Auto Insurance has two programs called Teens on the Road to Safety (TRS) and Sunday Drive. TRS is where you complete one year accident free, and you will receive $50 cash for every year. The Sunday Drive program is when you fill out a log of 20 trips each of at least 30 minutes long, with a parent or guardian in the passenger seat. With this program, you receive $100 in U.S. Savings Bond.
There are often discounts for students with good grades, because there is a statistical correlation between grades and on-the-road loss rates.
Several programs may be worth looking into, be sure to make some calls, or work with your agent to seek out the discounts available in your state.