Comment by Lammy
> Remove apps and features which don't work anymore, and would just make me sad if I saw them.
sudo rm -rf /Library/Widgets/Weather.wdgt
Some of these could be fixed if you find a replacement API. Try this modded Weather widget for example: https://macintoshgarden.org/apps/weather-dashboard-widget-da...And check out Download #2 (`Working_Widgets.zip`) here: https://macintoshgarden.org/apps/widget-collection-2005-macw...
I'm actually the author of those fixed widgets! They are on the website in the app library. (Even though they aren't "apps"... I originally wanted to make a separate page for non-app Mavericks software but it felt weird.)
The idea is, remove the nonworking ones to start out since they're broken, and then you can install the working copies.