Different Strokes might well be more of a Gen-X thing. I remember it being on TV (in England) when I was a kid and remember recognising Gary Coleman when he showed up in the '80s Buck Rogers TV series, but I was very young at the time. Pre-school age definitely.

Also, the younger cast of Scrubs are Gen-Xers and they definitely threw in a few references to it.

But let's not forget that years-later re-runs were and still are a thing, even on the handful of channels that most people had back then, so there are bound to be some people younger than Gen-X who also grew up with those shows as their parents enjoyed them the second time around.