The 1920's for sure! Just to see what it was like, the clothes, the gangsters, prohibition, would be interesting anyway!
I would go to the Era of Music (approximately 1750-1830) so I could meet Tchaikovsky and Bach and all the other wonderful Classical musicians :-D
I want to back to the dinosaur era, to see how many dinosaurs and what they look like
I'd choose to go to the time that Jesus Christ lived on Earth.