What are the lenses can a D600 use?

Does it still support Nikkor 18-105mm and Sigma Apo DG 70-300mm?
If not can you list the lenses the D600 support?

It can take both of the lenses you mention, but the sensor is reduced in size when a cropped-sensor lens like the 18-105mm is fitted (a 24-70mm or thereabouts would suit you better).

It accepts Nikon AF and AF-S lenses, as well as the older manual focus AI, AIS and series-E - third-party lenses in Nikon fit are also suitable.

You've already been told that the lenses will work with the Full Frame D600 as well as the fact that Nikon and other vendors such as Sigma, Tamron, Tokina & others who make compatible lenses.

I think I'm at the same point as you. I'm shooting a Nikon D300 and have the 18-200mm lens as my walking around lens and I'm very tempted by the Nikon D800. I've reviewed this for over a month and it boils down to this. I'm looking at a Full Frame camera which I'm going to use as a C size if I keep the 18-200. This doesn't make sense and if I don't intend to replace the 18-200, I should probably upgrade to the D7100.

My plan is to purchase the D800, use the 18-200 until I can pull together some more money to buy a proper lens.

The Nikon 18-105mm is a DX lens which will still work, but only in the DX mode. The D600 in DX mode is reduced to about 10Mp, so you are not going to get full resolution out of the camera. You should consider this lens just a temporary lens.

the Sigma DG series are for full frame cameras such as the D600 - so it will work fine. Sigma's DC series are for cropped cameras.

The website below has a listing of the best lenses for the D600:

http://nikonrumors.com/2013/05/17/best-lenses-for-nikon-d600.aspx/