Contrary to popular belief not many airline employees have access to cheap tickets beyond those for their immediate family - often their is a choice of having spouse and kids OR parents on the concessions. In any case at that time of year all flights, especially to India, will be chock full so even some staff will be going full fare...
On a more positive note
www.dialaflight.com has 15.12 to 10.01 for £665 inc all taxes routing from London City with Lufthansa...
You could also try some India specific travel agencies in Indian areas of town who may have cheap (pre-purchased by them) tickets too...