I worked there until a year or two ago - there weren't many cameras allowed in the QQ days!
A few Bedford projects in the 00's (all on Google):
VAAC Harrier - inc. JSF Control Laws & Autoland - it only flew from Boscombe, all the research was Bedford based
Autonomy - the stuff on the BAC111 surrogate & Tornado - plus bits of TARANIS
ASTRAEA - UAVs into civil airspace
Precision GPS for, amongst others, Williams F1
Mission Training Through Distributed Simulation
For a few years, we also led the world in cunning flight control laws for helicopters, but the famous 2004 cut ('We don't need no Chinooks') meant the Americans went their own way.
I have an old publicity VHS from 2000 - captures what happened back in the day with 'Flight Management & Control dept'. There were also lots of videos of the VAAC stuff. There'd be no harm in asking the QQ press office. Failing that, PM me & I'll give you a couple of contacts - a few of the Bedford team survive in the Farnborough underground.