When I worked at a post-production house in Notting Hill for two weeks, Alan Rickman and Gillian Anderson came in to look around the building as it contained an old theatre that they were thinking of using for a charity function. So they came into our office and we were introduced to them.
Gillian was lovely. She was so beautiful in real life, and very polite. She shook my hand and everything. Whereas Alan Rickman was really moody and seemed angry and barely said hello! What an old git!!
I haven't actually met Gillian Anderson, but when I was an X-Phile I went to an appearance she made at a shopping centre in Melbourne, and she waved to me on the way out. She was gorgeous and really lovely to the fans.
I loved Alan Rickman in Sense & Sensibility, Galaxy Quest, and especially as the metatron in Dogma.