Someone I know was building a Green Certified home and while going over the green features, one of the things he told me was that they painted or somehow sealed the insides of the kitchen & bath cabinets so as to seal in the VOCs. Sorry, I don't know any more than that.
So much for that "new house smell".

I wonder if the same pertains to new cars?
Common sense would say that the VOC items of largest concern are the materials that are used in large quantities in a typical home; things like latex paint, carpeting, insulation and oil based hardwood floor finish. I was told by someone in authority that the VOCs from latex paint dissipates fairly quickly - as in weeks - based on the fact that the off gassing of VOCs is part of the drying/curing process. Also, some commonly available and used latex paint, for example Duron Builders Masterpiece is low VOC. Formaldehyde free insulation is in common use too. I'd guess that 'point load' VOC items would be of concern too but I don't know what those items might be.
Finally the common $ence approach to your situation would mean letting some fresh air in the new home on a regular basis for a number of months until a lot of the VOCs have mostly dissipated. As a builder I am aware that by in large homeowners these days rarely open their windows. Once when delivering a new home I told a buyer that I would install the screens on the windows and sliding door ASAP. Her response: "That is OK, I don't like much air". I was a bit shocked but simply responded with "the house comes with them". I have to wonder if that type of behavior might be an important factor behind the VOC concern these days.