The best replacement for jlist is jcombobox.

The best alternatives to jlist are rated as following:
★★★★★  jcombobox
★★★★★  jbox

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Speaking about jlist, one probably shouldn't forget about jscrollpane.

Other search terms related to jlist and their ratings are:
★★★★★ jscrollpane
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jlist
jcombobox
jbox