Random little tidbit. Try out your cell phone in the house and make sure you get a signal throughout the house. Also check coverage maps.
Not that random. Good advice actually. When me and my wife were looking, there were houses that we didn't get reception in and it definitely played a role in our decision of whether to give the house a second look.
I was a first time buyer 2.5 years ago, so these are things I thought about. Mostly common sense stuff:
See what appliances the seller will throw in. If they are relatively new, it might save you some hassle and money later on. Plus, you can have a fridge stocked with beer right when you move in.
Walk around with the home inspector. It gives you a chance to ask questions about things you've found as both of you are standing in front of it. When selecting an inspector, get someone who will give you a full report afterward with pictures and descriptions of what he found (maybe most do this, our inspector did). When we foudn stuff later on, we were able to go back and see if it was something new or if it was present before we closed.
Check outdoor faucets for drips or water damage. Not deal breakers, but things you may have to replace later on.
Consider future repairs you may have to make like siding, roofing, windows. Will it be necessary soon or years down the road, giving you time to save up. Are you willing to spend the money on that kind of stuff? If you plan to live there a long time, it probably is worth the money for some of this stuff.
Pay attention to the neighboring houses to see how they are kept up.