I have found that if I listen to stuff long enough I grow an appreciation for it and start to like it. I dig Johnny Cash. I have not listened to the Wiggles and have not heard of Skinnamarinkadoo. My kids love listening to what I put on for them thankfully. They have turned me on to some of their music too though. There is a Martha Stewart CD that they have that I just loaded on my iPhone. It is a compilation CD and is for going to bed. It is all sleeptime music and there are some really nice songs on there.
I used to hate The Grateful Dead, Led Zeplin, Pink Floyd, Rush, AC/DC, and the list goes on. I was forced to listen to that stuff at the camp I went to because the older kids played it. Over time I started to like it and now that is some of my favorite music.
There is not a single genre of music I have heard that I have not found something that I liked in it. That includes rap, twangy country, show tunes, children's music, Gospel, bubblegum pop, opera, and anything else you can think of. You can try to torture me with music, but you won't be successful.