I've used something called "JComboBox" (on CPAN) -- it's a bit finicky, but quite flexible, and may offer some features that BrowseEntry doesn't. I had trouble installing it in 5.005, but it works fine with 5.8.0.

(I noticed some strange behavior when I tried to assign a value to the widget's textvariable in a subroutine while the window happened to be iconified (not mapped) -- so I had to make sure to map/display the window before assigning the value. I might not be using a current version.)