When I was in Taiwan last year, the line at the Din Tai Fung in Taipei was about a two hour plus wait... so I never got to try their dumpings. :( But I'm glad that I got to try it in Los Angeles, CA. The dumplings were really good and not one of the skin broke from the process of picking it up.
I also tried two other types of dumplings:
Fish Dumplings - Din Tai Fung
Shrimp and Pork Shao Mai - Din Tai Fung
The fish dumplings and shrimp & pork shao mai were both good as well. However, I think my favorite is still the orignal pork dumpling.