I submit we do still (and will continue to see) see these "types" of non-PC characters. Current examples:
Shatner's character on "$&#! My Dad Says"
Dwight Shrute (The Office)
Sue Sylvester (Glee, as un-PC as characters get).
Stan Smith (American Dad), as well as Family Guy and Cleveland Show characters.
Charlie Harper (Two And A Half Men...today's equivalent of Dan Fielding).
Ed Helms character (speaking of Al Bundy...though not as over-the-top) on Modern Family.
Then there is the edgier fare found on cable/premium channels. From HBO and Showtime, to Adult Swim and Comedy Central, no shortage of un-PC characters there. (If all else fails, reality show "stars" and cable news commentators will always be there to fill the void).
These types of shows/characters do seem to come in waves, though. For every "Cosby Show", a "Married With Children" inevitably comes along. For every "Simpsons" (once considered un-PC itself), a "South Park".
One may need to go beyond the (increasingly less relevant) Big 4 networks, but the characters will always be there. And I highly doubt well be back to the days of nothing but "Full House" and "Family Matters" anytime soon.
...at least I hope not, as these characters serve an important role as "bad examples".