Did This Even Happen?

Yes, Memorex released Disney-themed portable DVD players. Around the time, they put out a lot of Disney themed electronics.



The company even issued a product recall the year after.

Now, did the shows you mention inspire a DVD player? As far as I can tell, no. The focus was on Mickey Mouse, Disney Princesses, and Power Rangers. The included DVD will probably disappoint you, too. I dug up the product pages for some of the old players. They mention the freebie but describe it as a Disney Channel sampler. Rather than specific releases, you're probably getting a random assortment of episodes from each show (maybe even trailers/clips if they're feeling extra cheap) to preview on a single disc.