In addition to F-Droid on the device, I'd love an F-Droid "package manager client" on a computer, that allows installing apps on an Android device via adb:
# update repo lists
fdr update
# upgrade all apps on the connected device
fdr upgrade
# search packages
fdr search vlc # lists org.videolan.vlc
# install on the device
fdr install org.mozilla.firefox
# download the apk
fdr download org.mozilla.firefox
# uninstall
fdr uninstall org.mozilla.firefox
Of course, all operations would verify the signatures first.
