Is there a website that will collect your evaluations of various board games that you've played and will then recommend a board game that you will like, based on your evaluations and on those of other members?
Board Game Finder ( https://www.boardgamefinder.net/ ) does exactly that.
From the "How It Works" section of that site:
To provide the boardgame recommendations, we focus on collaborative filtering. In collaborative filtering, we have a set of items (boardgames) that have been rated by users. The main idea of collaborative filtering is to infer the preferences of each user based not only on the ratings provided by that user, but also on the ratings of all other users in the system. These preferences are then used to form the actual predictions. Thus, collaborative filtering makes use of the ratings of all users to make predictions about a given user. In other words, it recommends items that other users with preferences similar to yours rated positively. This is why it is called collaborative.