Got a degree in Maths, joined NATS last year, finished basic and a/d and am now posted and going through OJT 'as well as can be expected' for someone with no prior interest in aviation.
Love the job, don't regret doing my degree, interviewers seemed to particularly like that I held a job at a reputable fast food chain for 5 years to help fund rent money for my degree expenses, rather than having done the degree itself. Just got to put a hell of a lot of work in! Personally, the subject of my degree hasn't helped in the slightest, but the different ways it taught me to think about things has certainly helped. Apply ASAP, I had to wait 2 1/2 years for the whole interview process to finish and whilst it may not happen like that again, who knows.