Well, hopefully this doesn't spark ridicule, but I'd like to go back to ancient Egypt and see who built the pyramids and how they were constructed. Academia makes a lot of unfounded and ridiculous assertions (the Egyptians used copper saws to cut granite, etc.) Some archeologists have proposed that the Egyptians used water powered rotary saws to cut their stone which I'm more inclined to believe, but I wanna know!
The other era would be pre-Colombian North America. Between 1492 and 1607 90% of the native population was wiped out, an estimated 55 million people. Some sources claim that the majority of deaths happened rapidly after first contact and by the time the Pilgrims arrived the tribes they encountered were living a post-apocalyptic existence.
Archeologically we don't know much about life there prior to colonialism, so I'd like to go and check it out.
Last but not least, I'd like to bring all of the Star Wars Prequels and Sequels on DVD with a player to George Lucas around 1995 and walk him through some of the largest disappointments in the 21st century. Screw the butterfly effect.