Thicker Than Waters is a sitcom that aired during the 1980's. In Homer the Father, Homer starts watching and acting like the show's father, likely indicating that Homer is a fan of this show. The show's theme is Cherish That Family Smile. It was also one of the shows on the Butt-Whisperer 9000, with Homer refusing to see the show as he's already "seen it."
Behind The Laughter
Thicker Than Waters is largely based on the 80's sitcom Growing Pains.