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.
Ear Worm: EVERYTHING. Hear any song once, and it will be stuck in your brain forever. Even if you haven't seen or thought about the show in ten years, the moment someone brings it up, these songs will be coming back to you!
Internet Backdraft: Greg Page's return caused some of this, especially in regard to how Sam's departure was handled. And then it arguably got even worse when Emma became the Yellow Wiggle. (See Unfortunate Implications below.)
Misblamed: Anthony seems to get blamed for a lot of things that aren't his fault (see, for example, Sam's departure). This could possibly be the result of his I Am the Band status.
Older Than They Think: Most people outside Australia figure that The Wiggles are a fairly recent creation not knowing that they've been around since 1991 in their native Australia.
They've been around for so long that most Australian tropers grew up watching their videos.
Periphery Demographic: The band seems to avoid being grating to everyone but kids by having enough talent and good songs that parents and siblings don't mind being dragged along their concerts. That and they're damn catchy.
The fact they they play their own instruments (for the most part) elevates them from the normal "Triple threats who couldn't get any decent acting work" to "Musicians who specifically cater to children."
Replacement Scrappy: Sam was this to many fans who grew up with The Wiggles through The Nineties and the better part of the Turn of the Millennium. Bizzarely, Greg became one himself to many long-term fans when he replaced Sam, mainly because of the controversy over how Sam was allegedly treated. Then along came Emma...
Uncanny Valley: The aforementioned Wiggle Puppets, and some of their early attempts (Pre the Space Dancing DVD), to render the human members with computer graphics.