B.A are excellent, I did not get an apprenticeship with them, due to my un-aided eye-sight, which was a great shame! I got through to, what I was told was the last 8 for 6 places!!!!
With British Airways, as long as you can carry yourself well, and pass their easy-peasy tech exams I don't think you will have any trouble.
As far as other companies go,
CabAir are O.K, but pay is not too hot.
Monarch seem to have the most miserable bunch of Apprentices I have ever seen.
The Engineering Training Manager at Virgin is a pre-historic dinosaur and renowned in aviation training for being that way. He is very much of the old skool who think that women should not be engineers (His loss not mine!!)
Jersey European (Now British European) seem like avery well balanced company, with employees interests at heart.
I went the small company route, and ended up with a VERY good company where I was the only apprentice. They gave me good training, and all the support I needed.
GOOD LUCK WITH YOUR APPLICATION AND I HOPE YOU HAVE EVERY SUCCESS IN THE FUTURE!