In the early and mid 90s I was playing a lot of Zelda, Super Mario World, and Mario Kart on SNES, but also had a Genesis, then a Saturn, and a PS2, then N64... ;)
Definitely watched a lot of Nickelodeon and Cartoon Network too.
I really wouldn't point to modern video games as the blame, look more toward how the food has changed.
Anetdotal, but the majority of people I know eat like shit.