We're doing a new construction right now (actually, it's our second new construction as we had a house in 2002 that we had built as well). If it's already in the process of being built, you've already passed some of the issues (having to pull permits, get temporary electric up, etc.)
Right now, the issues you might be facing:
-Find out your deed restrictions and see if there are restrictions on things like animals, clothing lines, noise, garage doors/parking, sheds, etc.
-Do you need to have a sidewalk installed?
-Landscaping/grass/topsoil
-Mail box
-Getting gas/cable/electric/water/phone hooked up
-Getting your permenant stairs constructed for all exterior doors (nope, this is not standard with all builders and nope, you can't legally occupy a house until you have stairs built!). Sometimes they have temporary steps going in, but you'll have to finish them.
-Find out if you will need to install a permenant driveway. The construction/gravel driveway is meant to be temporary and is often not replaced by concrete/asphault by the builder. It may be required in your subdivision to do so.
-Final grade...your builder will most likely not put your final grade of topsoil down nor finish it to a smooth flat surface...you'll have to have it done. Likewise, landscaping aside, it will be a muddy disaster in the fall/spring, so you will need to have it seeded with straw laying down.
-An electric garage door opener with remote key pads and a child safety sensor. Find out if you're getting one or is your garage door the standard garage door that you have to go yank up and down (impossible for a short person like me!

: )