So you live in the DC Universe and you are in crisis. What hero to you want to save you? There are many different heroes that handle different things so it depends on which situation you are in. Lets go over a couple.
Hostage/Bank robbery - You are in a hostage situation at the hands of armed thugs. Not really super powered but armed and desperate.
Cosmic threat - An alien invasion, Darksied, Anything from space
Demons - Demons from Hell.
Low Level super Powered villain - one of Dc's many super powered scrubs.
Mid level Super Villain - One of the mid tier guys.
High level Super Villain - One of Dc's big bads.
Magical threat - One of Dc's many magical threats. (I didnt add this to my Marvel thread because there is only one really go to magic guy.)
So this is a list of what I can think of. If you can think of any others go ahead an add them. Let me know who you would want to rescue you or save the day.