Hmmm, absolutely no takers for Classics in our house, but how quickly would you see a return on the investment in the extra year of tuition fees & living costs? Presumably you would need to spend time & energy on something alongside an EPQ to prove the "passion" they so desire.
Whistl one of the highest state school % Oxbridge degree courses are Computer Sciences. However, you could simply get DS to dump the maths and take up Greek instead! Alternatively, do what the vast majority do. Head for a nice university with a decent course, bumble along for 3 years having fun and get exactly the same type of job in the city/law/IT etc as all the rest. This time next year we will al be fretting about whether our DC will get the ABC required to do just that.