The Aston Martin V12 Vanquish was supposed to make a special appearance in Twilight as the car Edward uses to take Bella to Prom.  It got cut out in the book editing process however, and did not appear in New Moon or Eclipse at all, but did appear again in Breaking Dawn where it appeared as Edward's special occasion car.  It was also the car that Jacob stole briefly from Edward when upset about the Bella triangle.

Bella never received the Aston Martin V12 as a gift from Edward.  Bella's "after" car is actually a a Ferrari F430.