You would have to stay for at least six months
I'd go back 800 years, and be a Native American on the plains, before Europeans got there.
I am a big fan of Leonardo Da Vinci, so would love to go back and meet him. I wouldn't stay long though, because of the danger to a pagan back then. I am also fascinated by the Victorian era. It was a time of invention, a time when women were beginning the stirrings of suffrage, advancements in medicine, science and science fiction, writing, dancing, music, mysticism. Besides that, Steam punk is kinda cool.
About 1850, around the time photography was just becoming refined. I'd travel and shoot images I know would become important historical documents in centuries to come. So instead of all these artistic woodcut impressions, there would be real images. And I'd stay longer than 6 months if I was rich enough to be comfortable!
the arty & socialist cafehaus society in vienna in 1925 would have suited me for a while. hungarian gypsy violins, women finding their power, painters, workers' unions, yes, i would have liked it.