The TV resolutions and years of production are important to answer this.
When people start using the RPi 4B on a modern 4K TV, then often the HDMI cable is too old. Be sure you are using an HDMI 2.0 or 2.1 standard cable to be ready for 4K.
If your non-working TV is very old (first flat screens), then it could be necessary to enforce a video mode at config.txt. Read here.