The title of favorite animé for me has to go towards Fate/Zero, Madoka Magica and Durarara. They're all fucking brilliant, IMO.
As for manga, I don't possess too much of it, but I've gained some definite loves and those are Fullmetal Alchemist, Death Note, Pandora Hearts and No. 6.
Holy shit, No. 6. If you like your manga slightly futuristic-tinged with well-developed characters and don't mind a bit of homo, then I would fucking heartily recommend it.