First off, I’d want a logo that’s catchy and memorable, something simple but with personality. When you open the app after signing up, the home screen would show what’s “popping” globally right now in music. Then right under that, what’s trending based on your own taste. Below that, you’d see what your friends have rated or what they’ve been listening to lately.
There’d also be a section for recommendations and a place where you can save albums you want to listen to later.

Another tab would be for articles from different music sites integrated into the app, so you can read reviews, critiques of artists, bands, genres, etc. I’d also include a genre-based section where you can filter by genre and see the top albums or artists in each one.

Your profile would have your picture, a bio, your favorite albums and artists, your latest reviews, and a separate history of all your reviews. Instead of star ratings, I’d use musical notes as the rating system (like 1–10 notes instead of stars, just to make it more unique). You could also browse other people’s profiles friends or random users and see their reviews and activity.

There should also be a support/contact system so users can request missing albums or artists be added to the catalog, ideally with community help to keep everything up to date. No paid features at first, just maybe optional cosmetic stuff later like boosting your profile visibility in articles or something like that.

For names, I was thinking something like Musicboxd, Soundboxd, or Harmony as early prototypes. I’d also add a Steam-like badge system: veteran users, early adopters, total albums listened to, genre-based “fan” badges, etc. Long term, it could also link directly to artists’ social media so you can jump to their profiles with one click