Family Guy
Sick, twisted, politically incorrect and Freakin' Sweet animated series featuring the adventures of the dysfunctional Griffin family. Bumbling Peter and long-suffering Lois have three kids. Stewie (a brilliant but sadistic baby bent on killing his mother and taking over the world), Meg (the oldest, and is the most unpopular girl in town) and Chris (the middle kid, he's not very bright but has a passion for movies). The final member of the family is Brian - a talking dog and much more than a pet, he keeps Stewie in check whilst sipping Martinis and sorting through his own life issues.
American Dad!
The series focuses on an eccentric motley crew that is the Smith family and their three housemates: Father, husband, and breadwinner Stan Smith; his better half housewife, Francine Smith; their college-aged daughter, Hayley Smith; and their high-school-aged son, Steve Smith. Outside of the Smith family, there are three additional main characters, including Hayley's boyfriend turned husband, Jeff Fischer; the family's man-in-a-goldfish-body pet, Klaus; and most notably the family's zany alien, Roger, who is "full of masquerades, brazenness, and shocking antics."
South Park
Follow the misadventures of four irreverent grade-schoolers in the quiet, dysfunctional town of South Park, Colorado.
The Cleveland Show
The bizarre adventures of Cleveland Brown and his family.