Which diamond shape looks closest to a round diamond?
That's a tough question to answer, because the aesthetics of shapes are so personal. I would think that oval or cushion will be the closest vibe to round, If you're OK with a less curvy stone, check out radiants as well.
There are lots of jewelers in your area - go look at some stones! You may not want to buy there (friends don't let friends pay retail!), but at least you'll see what you like and don't like.
I have posted extensively about this stuff. Check my post history!