Okay then,
- Graphics Card probably fine, because the mainboard shows the same behaviour
- Adapter probably fine, because the mainboard shows the same behaviour
- Monitor probably fine, because two monitors show the same behaviour
Digital ports will retry to connect after lost connection, analog usually will not, hence the difference between VGA and HDMI connector.
At this point it seems to be a bad VGA cable. Usually they would show color distortion, but maybe something shortens to ground and it seems to the devices, that there is no connection at all.