Random plot points.

Let's put your character in a sticky situation.

Every good story is just a test of conflict. What your character will do in a particular situation IS their character. What they do is what they're made of. This means your character is going to have to suffer. A lot. "But I love my character!" You say, "How can I possibly come up with ways to make them suffer?" That's what this page is for. Within the box is one wonderful terrible thing you can do to screw up your character's day, thereby raising the stakes and making everything get a little more interesting.

Create a new ambition in your character. What do they burn to be when they grow up? Sure, you already have a super hero that wants to bring justice back to their corrupt metropolis. But what if she suddenly also wants to fight global warming, become an expert at repairing antique clocks or reorganize her cluttered closet of assorted tights, laser guns and super gadgets.

Some ways this might be useful:

To help write your story (duh).
To get to know your character better. Want to know if Hamlet is the kind of guy that can keep a secret? Write a scene where he is a prisoner of war and see how long before he breaks. Doesn't matter if you never use the scene.
To think outside the box. If you can't imagine aliens taking over the eighteenth-century manor you've written, imagine how those aliens could work as a metaphor.

After all, writing stories is just a long series of "what ifs?.."