My list would probably include at least a few "old" movies like Funny Face or Roman Holiday (Audrey Hepburn is one of my all-time favorites) or maybe "An American in Paris" or "Singin in the Rain" (love musicals) or maybe "That Touch of Mink" (love Doris Day) or "Penny Serenade" or "Philadelphia Story" (love Cary Grant). Newer movies would include Notting Hill, Joy Luck Club, Elizabeth, and Moulin Rouge.
I love hearing about movies that others like - it helps remind me which ones I still need to see or want to see again!!