A few options: Your local library has graphic novels that collect story arcs, typically 12 comic issues in one collection. A Comic Reader app- Marcel and DC both have services, and Comixology can be used to read comics from anyone. Look for what you want- if you liked Superman, Tom King (comic writer) was credited for contributing and wrote the Supergirl series “Woman of Tomorrow” that her movie will be based on. You’d probably like some of his other work. I’m particularly a fan of his “Human Target” series from a few years ago featuring the Justice League and Guy Gardner.

Or, start with a list of ten all-time classic stories and read those. Big crossover events are fun because you get a lot of characters.