Broken Base: 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 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 had been Condemned by History), and Swayze points out that he was in the movie Ghost (1990), 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).
From the same episode, the Parody Commercial for "Barbo", a Barbie doll that also functioned as a toy gun when its head was taken off, designed to eliminate the stigma associated with boy and girl toys as well as allow for boys to explore their sensitive side. In the present day, both factors are being taken care of with toys like Goldie Blox (a Kickstarter-funded toy line with the goal of inspiring more girls to become engineers), and the Periphery Demographic for My Little Pony: Friendship Is Magic respectively.
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.
In the Off to See the Wizard episode (aired 1994), the Munchkins are represented as agents (i.e. Luncheons) who tell Amy, "Let's do lunch!" before she sets off on the Yellow Slick Road. 11 years later, The Muppets' Wizard of Oz comes out, and the Munchkins' (represented in that film by the rats) introductory song opens with the lines "Calling all Munchkins, let's do lunch-kins!"
In the same episode, the Wicked Witch (Julene as Shannon Doherty) meets her demise when she snatches the carbonated water bottle that Amy was holding and then drinks from it ("I'm belching!!"). In the Muppets version, the Wicked Witch (Miss Piggy, who plays the other witches as well) meets her demise when she falls into her bathtub and shrivels up when the flying monkeys tell her that it was filled with tap water instead of the bottled water she normally bathes with.
In "You Can't Fire Your Family", one of the cases in the "Hand Me Down Syndrome" sketch is a girl who only has a dress that her aunt wore in 1967 to wear to her prom. If this were to happen in 2015, she wouldn't seem so out of place, considering how many people wear vintage clothing nowadays.
"Pea Monkeys": A parody of Wheel of Fortune is hosted by Sidoni. He would go on to host the kids' game show Wheel 2000 in 1997.
Just Here for Godzilla: Plenty of people who watch the episodes on YouTube nowadays usually watch it for either the Newsies cast members or Crystal Lewis.
Moe: Castmembers Lisa Vale and Julene Renee fit this trope.
Vindicated by History: Though not quite in this league yet, the show was rediscovered in the wake of YouTube and is now considered one of the most underrated Nick shows ever made.
