If you're using a video camera which has
manual settings, do the following:
1 - Set the video camera's shutter speed to slightly
slower (..that's to say -l-o-n-g-e-r- ) than the film's frame rate. If the film's 18fps, try for a setting on the camera such as 1/15th sec. That will very slightly blur together successive film frames, and will
definitely remove flicker. (..Flicker results from the video camera's shutter being open for a frame or so while the film projector's shutter is closed, resulting in the video camera shooting a blank [black] screen, giving alternate image-&-black when the video is played..)
2 - Set the camera's White Balance to interior/light-bulb/indoor. That will match the colour of the film's projection lamp so that you get the correct colours on the video, instead of things looking rather blue or washed out.
3 - Set the video camera's auto-exposure to
manual if you can, to get a good average brightness. (..If it's left on auto, instead, the resultant video will get brighter and darker as it "hunts" to try and follow or match the brightness of individual scenes in the film..)
4 - Set the video camera's
focus to manual, too, if you can, and focus accurately on a few seconds of film before recording the whole thing. (..If focus is left on automatic, it, too, will "hunt" for the correct focus at scene changes, or changes in film brightness, giving out-of-focus segments of the resultant video..)
5 - Set the video camera on as near as possible the same 'line-of-sight' as the projector - slightly above or below it, or right beside it. That'll give the brightest possible video recording if you're shooting the film off a screen. (..Other contraptions, with a 45 degree mirror, assorted lenses, hoods, etc, also need aligning carefully, but may give a bright "hot-spot" in the centre of the picture, instead of providing even light all over the image..)
P.S: I may not be able to reply or give further info for a while, as I'm really away on holiday, without a proper internet connection, sorry..