The driving school where I teach, National Driver Training, primarily uses Hyundai Sonatas as our instruction vehicles. Sonatas are highly rated for safety. They are roomy and comfortable, and even the low end Sonatas come with great amenities.
In addition to the plethora of side airbags, these cars also have Electronic Stability Control (no, that ESC button does not stand for "escape"). ESC uses sensors to determine if the vehicle is in a condition of "understeer" (a front wheel skid) or "oversteer" (a rear wheel skid). ESC then applies the brakes on the appropriate tires to help the driver regain control of the vehicle. The driver may disable the electronic stability control features with the push of a button (usefull if the vehicle is stuck in snow or mud).
By 2012, ESC should be a required component of 95% of all new cars manufactured in the United States.
The above image and link will take you to the Insurance Institute for Highway Safety website where you can learn more about ESC.
You may also search for Car Models with ESC