The connections could be RGB, RGBS,or RGBHV. These are the same as VGA Dsub15. Could also be component video, composite video, or Svideo. The connectors could be RCA, BNC, Dsub15 or Svideo.
If your new projector has HDMI it may be simpler to use a wireless HDMI solution than use converters that will degrade the picture quality. You would need active converters. You could run HDMI over coax adapters. You could run HDMI over RGBHV adapters. Not cheap.