If you find a particular song title, let me know. I listened through their discography briefly but didn't find anything.
The first video you posted is the original broadcast version. The second video is from a repeat. If any music is different in the repeat it almost always means the replacement music comes from www.extrememusic.com. Search through the rock genre albums and you are likely to find it.The Carrera GT Car Review song list is correct for THIS version: http://www.youtube.com/watch?v=ANA_gI7wGJA
But in THIS version (official BBC version on YT) there is another song in it: http://www.youtube.com/watch?v=vE_WqdKbTvY
It's from 2:32 to 2:52. And I really would like to know which song it is.