I am not big fan of comic-style theories, however, it just so happens that this theme is close enough to me. First of all, here's a very good anime example from the show that I personally greatly enjoyed:
That guy pretty much generates electricity, which gives him good combat power (plus, he can always use non-lethal amount of power). And in addition to that, he also can fuck up stuff like electronic locks, and even fix a broken TV. Which is a bit of a stretch, in my opinion, but hell, why not.
Now, I play forum DnD games, and other settings and systems too, and I had experience of joining superhero setting game. And, this power is exactly the power I chose - electricity. Now, I figured that shooting lightning from your fingers is cool, but too overpowered. So I settled for just generating electricity with your body, and starting expanding on that.
First of all, we are assuming that your power cannot hurt you. Cause otherwise it would be damn stupid power. So, my character had resistance to electricity right of the bat, which was gonna be useful in her normal life, as she was studying engineering and was planning to be power lines technician. So there was that already.
Second of all, electricity obviously offered ways of combat, but also it provided, quite literally, free power. Meaning, no more electricity bills ever - she would just charge her own generators and use however much power she needed for any crazy comic science she was going to partake in. Unlimited power!
Second of all, even though she could not shoot lightning, her combat gear would obviously include some high-conductive wires, that could be thrown at enemy, and then electric charge would follow. Pretty much that idea I totally stole from how Hei fought in Darker than Black.
And finally. Even though the game didn't last that long, I had absolutely crazy moment there, and I still have trouble believing that game master actually allowed that to happen. But electricity also means polarity. Flow of the electrical current, you know. And that's the principle behind such awesome thing as rail gun - projectile is placed between 2 oppositely charged metal rods, and that makes it fly out with extreme speed. Simplified explanation, but yeah. So, at some point, when my character had no combat gear on her, she just made a finger gun, using both hands, with a small coin placed between index fingers. And she made that coin shoot out at the enemy drones. Which was absolutely awesome, overpowered and took a slice of skin of her fingers. Good times.
So yeah, if you really think about it, you can have a lot of fun with electricity.