[quote name='chosen1s']I would want to see a lot of the Biblical events firsthand (The first Christmas, first Easter, and Garden of Eden would each be at the top of my list - and I suppose possible with the rule of not interacting - was it Da Vinci who painted a picture of himself observing Christ's crucifixion?).
Those really trump all else though there are a lot of other 'mysteries' I would be interested in seeing as well - Egyptians building the pyramids, Area 51, etc.
Somebody mentioned their theories - it touched on 2 of mine as well (one silly, one somewhat serious though impossible).
I was talking about spontaneous combustion with a kid one day - he theorized that it happens when a person tries to burp and fart at the same time

My theory was that it was God's way of preserving the space-time continuum. Someone goes back in time, they're about to step on the proverbial butterfly *Boom!* Wiped out, just like that. (Be careful if you ever time travel!)
My other theory parallels the topic. If we ever overcome the speed of light (wormhole, whatever doesn't matter), then turn around and look back at the Earth (powerful telescope, whatever), having moved faster than the speed of light, we would actually be seeing the past. (Just like in astornomy they tell you the star you see blowing up actually blew up X number of years ago, it just took that long for the light to get here). Theoretically, with the right calculations you could witness quite a few historical events - but probably only the ones that happened outside.[/quote]
Technicially you wouldn't actually be able to see the earth if you were traveling away from the earth at the speed of light or faster then it. Since the light from earth would have to travel the same distance you are traveling, it would be slighley behind you the entire time. It would be similiar to shooting a bullet then another bullet, the second bullet would never catch up with the first. Once you did stop you would only be able to witness the events which took place since you had left the earth (presuming you were traveling at the speed of light). If were traveling after then the speed of light you actually wouldn't be traveling a distance at all, you would be traveling through time so whether you travelled away from the earth or not would not matter.
You could use a wormhole to fold space-time so that you could travel somewhere before you actually left, but that brings about many parodoxs.
Nice thing is that most physicists who study time travel (usually as a hobby since it isn't really a researched topic in main stream science) do agree that if one did travel back in time he wouldn't be able to interact with the Universe in anyway. Which means if you used a wormhole to travel back in time you would see yourself get into the wormhole, but would not be able to interact in anyway with your previous self.
If I traveled back in time....
I would see how the bible came together, and who wrote it.
See geniuses such as Netwon, Einstein, Da Vinci, Ramanujan, Wittgenstein, etc..in there prime.
most importantly I would like to find out how I actually did travel back in time.