These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Base Breaker: Okay, there's not much of a base to break about it, but Dominic Lucero and Crystal Lewis' departures from the show qualifies, as well as the latter seasons, which tend to have a different feel from the first season.note this factor could also be because the show moved production from the Florida Nickelodeon Studios to the CBS Studio Center in Hollywood.
Critical Dissonance: The show won no less than four different awards during its time (including an Ollie Award for "Excellence In Television Programming For America's Children") but never managed to find an audience. This is sad, since (despite what The Nostalgia Critic says) many of the show's jokes and sketches were actually pretty funny, and you could tell that the cast had a lot of fun doing the series (not to mention that the show had many fantastic original songs, two of which also won awards for Best Song).
The natural disasters episode counts as well, since it was aired mere months the Northridge earthquake happenednote this was the season premiere (the Live Episode notwithstanding); the brief reference to the L.A. quake during The Hollywood Squares parody was presumably added as an afterthought. The plot involves the dad moving his family to California, only for everyone to endure an earthquake (among other things). Of course, this also makes the song "Sunrise" Heartwarming In Hindsight; it starts with the lyric "Something in the whisper of the wind is telling me that somehow / there's a way that we can start again".
In the Christmas Episode, the dad is visited by the "Ghosts of Christmas Specials", who are represented by No Celebrities Were Harmed versions of three celebrities: Bill Cosby (Alfred), Patrick Swayze (Munoz) and Vanilla Ice (Mark), the joke being that none of them are dead yet (though Cosby's film Ghost Dad died at the box office and Ice's career was Deader Than Disco), and Swayze points out that he was in the movie Ghost, so that's good enough. The real Swayze would die in 2009, while Cosby and Ice are still very much alive as of this writing (though Cosby's career is pretty much dead in light of several abuse allegations in late 2014).
In the first time travel episode, the Anykids run into "Nostradumbus", whom Natasha thinks might be one of the guys from ZZ Top. Nostradumbus then makes a prediction about a redheaded actor who will become President, "and his name is Ronald... McDonald!" 20 years later, at the 2014 Macy's Thanksgiving Day Parade, they had a segment with Al Roker interviewing handlers for the Ronald McDonald balloon. The first handler he comes across is a man with a rather large beard... and Al addresses him as "one of the guys from ZZ Top".
Speaking of Today, back in 1983 that show's (now semi-retired) weatherman Willard Scott once did a spectacular Carmen Miranda impression on-air, complete with Pimped-Out Dress. In season 4 of Roundhouse, Carmen Miranda and Willard Scott were spoofed in two consecutive episodes. "Objection" features a quick Miranda Rights gag involving Lisa Vale doing an impression of the actress while reading said rights. While in the episode "Claptrap", David Sidoni briefly appears as "Willard Snot" giving a weather report (true to the episode's themes, the bit involves opening an umbrella indoors), complete with birthday greeting to a 105-year-old.
One of the spoof skits in the talent show episode is Lame, a parody of Fame which features Amy as "School of Pathetic Arts" alumni Stevie Nicks. As fate would have it, Amy would go on to play Grace "Lambchops" Lamb in a production of Fame, The Musical.