If you look at my list of favorite movies one could summarize with Miyazaki, plus some shit... Hayao Miyazaki's films take up minimum 7 slots on my top 20 movies list at any given time. Nausicaa and Princess Mononoke have held strong at numbers 3 and 1 (respectively) for a good many years now (My other favorites of his being Kiki, Howl, Spirited Away, Laputa and Totoro). That doesn't comprise all of my favorite anime films, the list also including Paprika, Tekkonkinkreet and The Girl Who Lept Through Time.
My number 2 spot I'm pretty sure will always be Men in Black, and that era of Will Smith movies will always hold a place in my heart (Aw, hell no I don't forget that I know all the lyrics to Wild Wild West and will recite them at the slightest prodding).
Old Schwarzeneggar films are also favorites, my personal list being: Predator, Commando and Last Action Hero, though the Terminator films are always fun.
Films I grew up with, like The Brave Little Toaster, Gremlins, The Lion King and a lot of others will always be favorites of mine.
As a die hard Where the Wild Things Are fan, I have to mention the film adaptation, which I rather enjoyed.
Jackie Chan films never cease to entertain and amaze me.
Also, Josh Kirby... Time Warrior!
I like Wes Anderson.
That's just a bit of what comprises my favorite movies. There are a lot on the list. What's key for me, in a favorite, isn't necessarily that it's "good" by general standards. I don't watch movies to feel intelligent. When I watch movies, I want something that I will love to come back to and watch again for the sheer pleasure and entertainment value. It's the reason why classically "good" films that I enjoy aren't necessarily on my list of favorites, because while I thought they were good movies, I'm not all that inclined to watch them again. That's fine, and I still like those movies, but they'll never be a favorite in the same way Men in Black always will be, because I can't watch them up to 7 times in a year.