It sounds like those games might be running in a refresh rate that your televisions don't support. Some arcade games ran in strange refresh rates like 53hz or so.
Combatribes runs in 57hz. MAWS says Renegade runs in 60hz, but I see other 240x240 games in the database running at 57hz, so that may be a typo.
I bet your HDTV's will only sync to exactly 60hz, and shows a "no signal" screen otherwise.
Have you tried connecting this to a standard CRT? Old CRT's are much more flexible in what ranges they allowed and it's possible it will display fine on a standard CRT.