It's pretty insane that no one has created something like Letterboxd for video games yet. If I had any hint of programming talent I'd be all over that sort of project.
It's called RAWG and it has everything you might need. There's the largest games database (over 280,000 titles), there's your personal library that syncs games from PC, PlayStation, and Xbox automatically, the wishlist, colletctions, the release calendar… So lots of basic features you'd expect plus some fancy stuff like short videos on the front page to discover games or the community feed. I am a developer of RAWG (we are a small team of 10 people) but I use it daily myself as a user and quite proud of what we have done since our beta launch in 2018.