This really is the single hardest question of finding decent art, in my experience. But I'm a strong believer that by far the best method is to ask other people what they find affecting. Oftentimes, just asking someone else will get you somewhere you had never thought about before, at which point you can pursue its connections with other things. Like, for example, some of my favourite pieces of "good art" are renditions of Faust. The reason I got into Faust in the first place is because I made a project of asking around among the people I knew (older people, largely) who listen to opera what their favourite operas were, because I realized I knew practically nothing about opera and how to enjoy it. That ended up introducing me to multiple pieces which have stuck with me, one of which was Dido & Aeneas, which I listen to regularly, and one of which was Gounod's Faust (which I am a defender of against Berlioz-only acolytes), which I watched a shockingly good, albeit poorly recorded, staging of with the person who's favourite it was. Then that led me to do further research into Faust and read more Fausts and end up reading some of my favourite texts. But there's no way to automate that process, or at least, not its beginnings. It's in a sense what Girard calls triangular desire: to have a mediator who initially transfigures the piece of art and invests it with significance. You have to find out what other people are in love with and find a way to be in that love with them. Then what you do from there is the easy part.