Since different versions of D&D have race as a class, I figured I'd amalgamate the 2 of them.
Favorite Race - The Halfling
Hands down my favorite race is the "Halfling", every since I saw Merry & Pip in LOTR I've fell in love with the Halfling and there love of the leaf. 9 times out of 10 I will be a halfling thief, as there just so much fun to play.
Favorite Class - The Lovable Rogue
The anti-hero, some great examples are Robin Hood, Han Solo, Westley from the princess bride, Capn Jack Sparrow, Puss N Boots. I love playing the swash buckling adventurer/thief. And usually they have a outrageous french accent ala Monty Python and the Holy Grail.