The Fast and the Furious (50s edition, not the new one) has lots of sports cars in it, including a TR or two, it can be had on DVD on E-bay for good prices. The Green Helmet has more purpose built sports cars like Jag D types and Ferraris, it is not available on VHS or DVD to my knowledge in an officially produced version, but is worth a watch if you can find it.
The old Elvis film, Viva Las Vegas, readily avialable on VHS has TR3 and 4s and lots of early 60s cars in it incuding a Daimler SP250. A lucsious young Ann Margaret drive a white TR3 if I recall correctly.
Other movies with a good selection of sports cars and racing "On the Beach" which is also a good movie even without the cars, and "State Fair" in which there is a Sports car race at the fair and I think that Ann Margaret is in that one too.