Every now and then my friends and I like to do things similar to the EZA Tiermaker Stream. Usually 2-5 of us rate things (most often the MCU) by making our own Tiermaker lists then sharing pictures of them. We then argue over why someone put something so low or so high. It might be fun to have a Tiermaker topic on the forums here, but I could see things getting out of hand with how much arguing has gone on in the past.
As for other personal rankings of things, I kinda never think about it. I don't really think about what score I would give many games (roguelikes being an exception), or what makes a game enjoyable to me. If someone asks me what my favorite food/movie/game etc. is I never really have a concrete response. The way I come up with definitive rankings for something like the forum GOTYs is to take everything I have enjoyed from that year and put them in a row from favorite to least favorite. Then, I ask myself if I enjoyed a game more than the game above it or less than the game below it and move it up or down according to my gut feeling.