I would suggest you paint the ceiling a tone or two lighter than your wall. The white emphasises the difference whereas I suppose you want to make the ducts less evident.

also no on the color of the ceiling. take all the pictures down from the right side and move them to the
wall that has the antique chair that is across from the brick wall. that would be for all family pictures.
i have seen that done in a lot of basement family rooms. they just use one wall for pictures. when you
hang anything up too high on the wall it will make the room look shorter. some people say to hang things at eye level.
i would take the art down that is on the left side of the tv. it is very pretty. you could put it on another
wall just by itself. some people just do whatever they like or want in the family room. basements are
so nice for families to have fun and relax. white walls works for me.

What is a good paint color for basement

Your wall colors are fairly light, so you are safe using white on your ceiling. If your wall colors were any darker you would probably want to use a lighter intensity of the wall color (almost white) on the ceiling.

Keep them white.

you cannot go wrong with the walls and ceiling all white since all your furniture is dark colors.

I would paint the ceiling white.