Did Family Guy appear on other shows?

Your question makes no sense.

If you are possibly asking if the Family Guy characters have appeared on other shows then the answer is Yes.

There have been crossovers with The Cleveland Show & American Dad.

Stewie appeared on Bones.

Peter & Lois appeared on Drawn Together.

Peter appeared giving the Top 10 List on David Letterman's Late Show.

Peter appeared on The Simpsons.

The Griffins were parodied on South Park.

Chris Griffin and the Evil Monkey appeared on MAD.

That's all I can think of but if you happen to mean has the literal show Family Guy appeared on other shows, I don't believe so.