I personally do this. With a few exceptions depending on genre my rating system goes like this.
Presentation (graphics, art direction, framerate, and visual fidelity) - x/10
Sound (OST, Sound Fx, voice acting) - x/10
Gameplay (controls, mechanics, battle/combat systems, unlockables, replayability) - x/10
Fun Factor (How enjoyable the game is to me subjectively) - x/20
This all culminates in a score out of 50, which I like since it includes a lot more nuance than just a 4 or 5 Star rating system or your standard x/10 overall score. 60% of every game's score is based off of more objective markers, however 40% is based off my own subjective experience of the game. Since how much I enjoy a game is the most important thing in the end, this score is a lot more weighted than the other individual markers. I've played games that objectively are pretty good games, but I didn't care for too much. Likewise I've played games I loved, but didn't look that great and the gameplay was noticeably flawed. In the end these games scored about the same, but for very different reasons.