Unfortunately there are no shows at DL Lion King related. I don't think Animazement has any Lion King skits in it either.
Rafiki and Timon are in the parks to meet. If you wanted to do something really cool, depending on the age of your daughter, is get her into the Parade of Stars and walk through the parade with Timon. That is one of my personal fantasies.
I don't know what or if there are any Lion King sites at DCA. The animation tour may feature something but I have not had the opportunity to see that yet. Feb 3rd will be my first opportunity to see the new resort.
I think Larry's idea about seeing the Lion King at the pantages theater is excellent!!! You can look for tickest at ebay or try the
www.lionkingla.com site to look for ticket availabilty. The tickets range from 45 - 85 dollars.
Hope that helps. Of course, you can visit the Lion King Museum located at my house!!!
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Past
DL multiple times
WDW offsite '92, Grosvenor '96, AS-Mu '98,
Disneyana Convention AS-Mu '00
Future
Disneyana Conv 2001 at GC
DIS Convention 2001 at Y&B
OKW and BWV New Years 2002