Ultimately, better than The Simpsons
Granted, there would be no Family Guy without the influence of the Simpsons, but the Simpsons stopped being a funny show around 1998 or so. Family Guy, while occasionally dropping a stinker here and there, continues to be funny. The secret? The Simpsons stopped aiming their satire in all directions. Family Guy has no qualms taking the left to task just as much as the right. It's the same problem with SNL. Making fun of one ideology gets tired and the bias becomes obvious and annoying. That the left can't see the humor in its own foibles is disappointing.
(How do you NOT make fun of people who claim to be pro-woman but can't define what a woman is?)