kula,
In the past the following airlines have run schemes with no flying related entry criteria: BA, BM, Aer Lingus (often called EI), bmi, Air 2000, Airtours and British European.
British European and KLMuk also operate separate part-sponsorship schemes for those who have 180 hours, PPL etc. All of these come up in flight international, but also try
www.cabair.com
GOOD LUCK