I have tried multiple power supplies, connections (and cables) and even multiple consoles for the Genesis (high def, non high def etc) and yet all still have the same symptoms. I thought it could be the tv but I have tried on three different flat screen late Trinitrons, one being completely isolated from anything else in the house with just the tv and one console.
I tried FFII on the SNES and can see the lines over the blue menus while the exact same game on the PS1 (in FF Chronicles) doesn't have any lines at all as is crystal clear and stable.
Finally the only way to get rid of them that I could find is through the image "Tilt" function of my Trinitron's. As I change the tilt it alters the speed and intensity of these lines (which I wish I could get on pictures but I can't seem to). If I tilt the picture to the extremes (either -5 or +5 I eliminate it completely but end up with a picture so out of center that it's even more unplayable.
These lines don't display on PVM's or LCD's at all, only on the Trinitron TV's (I only have the later flat screen models to test with, FS120 and two FV300's).
Wish I could figure out what is going on as it drives me crazy on some games.

I was wondering whether I should try buying coax 75ohm terminators for the tv coax ends as I don't have cable boxes connected to them but not sure that has any relation to this.
Any help from the pros here would be hugely appreciated! I can't understate how appreciative I'd be if someone could help me solve this issue.
Thank you.