I love lists like this! I’ve added these to my backlog of features (here if you want to look at it Trello). Everything you’ve suggested is feasible. The filtering of the collection should be fairly easy to do.
As for personal notes, you can use the status messages as a personal note for a game. There’s a box on every game page to enter them, and also on the front page when you’re logged in. You can mark it as private and no one but you can see it. I’m going to make that more prevalent in the redesign of the site I’m working on currently (you can see screens of it over here: Screenshots of the new profile pages - #13 by MrSaturn21)