Not exactly non-airline but...
I couldn't recommend the turboprop route enough! I appreciate it's generally 'slim pickings' but you won't regret it, most fun ever, it's respected and will set you up for the rest of your career.
Still a few around the UK but competition I'm sure is very high...If non-airline really appeals, I think FR Aviation still do calibration and Gama operate a great Scottish Ambulance service, all Beech 200's...I've always wanted to fly a BE20!
Oh well...3 sector day on a B763 for me instead this weekend!