Try "Invincible" as well.. it is a IMAGE comic, but extremely good and starts from the very beginning as well.
Some great comics that I have been loving this year that are all running now (as in not complete and still coming out weekly / monthly). Add any of these to you pull list and you will not be sorry... well I'm not at least!
Young Animal (This is a DC Imprint like Vertigo, but part of the official DCU)
• Doom Patrol
• Shade the Changing Girl
Dark Horse
• Black hammer
Image
• I Hate Fairyland
• Bitch Planet
• Descenter
• Saga
• East of West
• Faster than Light
IDW
• Tales From the Darkside
Marvel
• Gewnpool
DC
• Action Comic
• Superman
• Detective Comics
• Batman
• Aquaman
• Green Arrow
• Hellblazer
• Red Hood and the Outlaws
• Trinity
• Wonder Woman
• Frostbite
Basically DC have been killing it with Rebirth. It is so good. There is a reason DC have been taking all top spots in the top ten sales every month again and again and again. Some months even taking all ten spots.
If you are looking for "non-superhero" stuff then Image is your best place... in fact most of the best comics around are image at the moment.