So when the game is on ABC, I can record it for this process. Since I want this to be a fanpost, I'll explain my process.
Basically, I convert the game files from my recording, cut them up with virtualdub, import them into Photoshop, resize and cut one of every 2, 2 of 3, or 3 of 4 frames, and save it to gif.
The most time consuming part is converting the files. Usually that's because each one (about 15-20 minutes of video) takes up around 2-5 gigs of space. I use my 1.5 TB drive to hold them, so I'm not too worried about running out of space, but I make sure to clear out the leftovers before the next weekend.
More gifs will be in the comments as I can put em together: