Go for it!! I have had non white woodwork, skirting and doors, which I really liked. Dependent on the colour you choose it doesn't show the dirt as much, or fade that quickly. I have had light grey, dark grey and a shade of blue., so done it more than once.
We did our hall, stairs and landings last year with a subtle grey to the walls, off white (not cream) doors and balusters and then black skirtings, architraves, newel posts and handrails. We think it looks really, really, good; your focus of attention is reversed and together with black framed paintings on the walls makes a lovely difference.
Our skirting boards are all plain wood to match all the doors and window frames. Saves a lot of painting.
However, I think it might be great to have coloured ones if they match your decor.
I'm a great believer in contrast when it comes to interior decor and greys and blacks look really good. I've been meaning to do something similar to Captain 2 on my stairway. I'll no doubt get around to it sooner or later :-)
I don't want a high gloss finish so i'll most likely use a black satin finish for the woodwork with one exception; i'll be aplying a grey undercoat before the black, but on the inner architraves, i will apply two coats of grey undercoat and leave it as is. I find the grey undercoat a very versatile colour and it will serve to soften the contrast between the black and whatever colour i decide for the doors - like yours, they will not be brilliant white.
I had deep plum skirting and architrave once with a Laura Ashley cream,plum and sage green wallpaper. Door and window frames were cream though. One day hung I have seen that looked better than it sounds covering the shootings with wood effect sticky back plastic ( the heavier duty one designed for kitchen cabinets) in a deep mahogany. Combined with mahogany framed mirrors and dusty blue paint it looked interesting and quite striking.