How many games have you made yourself? Do you enter competitions like Ludum Dare? (etc etc) How many mods/levels have you made for existing games? Have you learnt to do any programming and/or art? Have you showcased your games (and other creations) much on forums such as this one? Have you covered a broad range of game genres in the stuff you've made (when it's a real 'job' you have to produce good work even for genres and IPs you hate)?
Do you work for Ubisoft Reflections in Newcastle? What Universities do you work with? I attended Northumbria University and did BSc Computer Games Design / Production. I had a guy from Ubisoft Reflection, come in and teach some of our module. Teeside University have links to Ubisoft.