I really like my Droid, but have had the same loose battery door problem as everybody else; it usually slides off while being removed from my pocket, which makes the otherwise-heavy-duty-feeling phone feel weak. Verizon's solution? Also weak.
Apparently, Flickr user Anticitizen took his Droid to a Verizon store to see what could be done about the battery door issue, and this was their solution. There's a better fix illustrated in this video, but still: What's up with the Band-Aid, Verizon? [Android Central]