Yes, Superman has a post-credits scene. Two, in fact. One around the mid-credits and a second at the very end. The scenes featured don't exactly tease anything or set up future DC projects, and that's how writer/director/studio head James Gunn wants it.

Superman is the most powerful superhero in DC Comics, able to go toe to toe with its most powerful villains, like Darkseid and Brainiac. That’s why it’s surprising that his nemesis is Lex Luthor, a man without any superpowers.

Instead of retreading narrative subject matter audiences have become bored with (no baby Kal-El in a spaceship crashing to Earth here), Gunn's take on the character's story drops the audience into an already built world.