Edit "Browse Forums" widget to display avatar

Yes, that widget could be edited to also display the group avatar next to the group name. This would just require a customization to the widget in Widget Studio. The 'list.vm' file in that widget contains the display logic.

If you want to go more full-featured, you could create/modify the configuration options to allow selecting between showing both, or one or the other, with acocmpanying interpretation logic in list.vm.