IMHO, TV cartoons today aren't near as clever or funny as they were in the 50's & 60's. I was born in 1934 so I was an adult then, but I still loved them!! There were also great cartoons at the movies. As far as I can remember, Saturday matinees always had a double feature, Movietone News and a cartoon. (And the coming attractions weren't nearly as long as they are now.)
Beany & Cecil (the seasick sea serpent) was one of my favorite shows.
They made many subtle (& sometimes not so subtle) references
to current events, place names & people,
such as Vic Tanney in this short (6 minute) episode.
He used to have a gym franchise.
Another of my favorites was the Rocky (Rocket J. Squirrel) & Bullwinkle. The show was structured as a variety show, with the main feature being the serialized adventures of the two title characters, the anthropomorphic moose Bullwinkle and flying squirrel Rocky. The main adversaries in most of their adventures are the two Russian-like spies Boris Badenov and Natasha Fatale. Supporting segments include Dudley Do-Right (a parody of old-time melodrama), Peabody's Improbable History(a dog named Mr. Peabody and his boy Sherman traveling through time), and Fractured Fairy Tales (classic fairy tales retold in comic fashion), among others.
Mr. Peabody & his boy Sherman were part of the Rocky show: