About this Mac is a slow application in terms of file listing and deleting, especially in case of such big files. The reason I can guess is that it is build atop Finder and requires a huge amount of sorting and storage computations. Also apps like Xcode which were installed from Mac App Store will require passwords while emptying trash if not now.
I suggest that you find the uninstaller of all the apps in their DMGs, if any.
For the remaining ones, I suggest that you check their official pages for uninstallation.
As a last and deprecated option for the remaining ones, go to Finder's
Go menu-> Applications -> delete specific apps or folders. Adding to this, there might be files in
~/Library folder like caches or application support. To remove them, go to Go menu in Finder, hold
option key and press Library-> go to Caches -> find the relevant files and delete the ones of your games.
Don't delete your Xcode developer files as they might be helpful for some later builds and contain Logs.