I had an experience at night which really showed me how much trouble night VFR can get you in to. We were flying from Avalon to Bankstown - most at night. I was very current IFR at the time and we departed in IFR conditions. We flew into fine weather about half way so relaxed and flew as if VFR. After we passed Goulburn we basically lost all visual reference - we were in the clear but had flown under a high overcast and there was also low cloud at the same time !! It was very disorienting and I had to concentrate hard for a few minutes to get back to IFR mode. It made me think - the same thing could easily have happened to a VFR pilot who was not really current on instruments - and it would have been very difficult.
On my NVFR test we actually flew into a cloud we didn't know was there - small one luckily !
My main use for NVFR was, as others have said, departing early or landing late. I remember one morning taking off from Birdsville and watching the sun come up - spectacular.